If : = 3: 7 and : = 21: 25, find : : c
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First, multiply by b on both sides in the first statement to get ax = 3/5b. and multiply by cx in the second statement to get a = 5/7c.
Therefore, by the transitive property of reasoning, since we have two statements that equal ax we know they equal each other so 3/5b =5/7c. Then multiply both sides by the common denominator (5 * 7 = 35) to get 21b = 25c.
Now we know that b:c = 21:25
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