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If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ?

Question

If A : B = 7 : 8 and B : C = 7 : 9, then what is the ratio of A : B : C ?

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Solution

Step 1: We have two ratios A : B = 7 : 8 and B : C = 7 : 9.

Step 2: To find the ratio A : B : C, we need to make the B's in both ratios equal.

Step 3: To do this, we can multiply the first ratio by 7 (the B in the second ratio) and the second ratio by 8 (the B in the first ratio).

Step 4: This gives us A : B = 49 : 56 and B : C = 56 : 72.

Step 5: Now that the B's are equal, we can combine the ratios to get A : B : C = 49 : 56 : 72.

This problem has been solved

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