{"id":"aqua_rat:b03532bd784333b31eb01ff02d2dec42","source_id":"aqua_rat","source_item_id":"b03532bd784333b31eb01ff02d2dec42","external_id":null,"program":null,"section":"math","category_code":"PHM","category":"Preparing for Higher Math","subcategory_code":null,"subcategory":null,"form_id":null,"passage_id":null,"position":null,"scored":true,"layout_warning":null,"stem":"The mean proportional between 45 and a certain number is three times the mean proportional between 5 and 22. The number is ?","stimulus":"","stimulus_html":null,"stem_html":"<p>The mean proportional between 45 and a certain number is three times the mean proportional between 5 and 22. The number is ?</p>","rationale_html":"<p>If X be the required number, then</p><p>(45 x X)1/2 = 3 x (5 x 22)1/2</p><p>45X = 9 x 110</p><p>X = 22</p><p>C</p>","correct_answer":["C"],"equiv_key":"232a9cdcc676a57f6924f098","has_media":false,"has_mathml":false,"has_table":false,"section_label":"Mathematics","options":[{"label":"A","content_html":"<p>24</p>","ord":0},{"label":"B","content_html":"<p>49</p>","ord":1},{"label":"C","content_html":"<p>22</p>","ord":2},{"label":"D","content_html":"<p>9</p>","ord":3},{"label":"E","content_html":"<p>8</p>","ord":4}],"passage":null,"attribution":{"source_id":"aqua_rat","source_name":"AQuA-RAT algebra word problems with rationales","rights_holder":"Google DeepMind and the AQuA-RAT contributors","canonical_url":"https://github.com/google-deepmind/AQuA","retrieved_from":"https://raw.githubusercontent.com/google-deepmind/AQuA/master/","attribution":"Algebra word problems from the AQuA-RAT dataset (Ling et al., 2017), published by Google DeepMind under the Apache License 2.0.","disclaimer":"AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.","license":"Apache License 2.0. Crowdsourced by DeepMind and published for free use, including commercially.","redistributable":true,"item_count":508},"equivalents":[]}