What will be the third ratio of (a+b) and (a+b)2?

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  1. b
  2. (a + b)
  3. a
  4. (a + b)3

Answer (Detailed Solution Below)

Option 4 : (a + b)3
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Detailed Solution

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Given:

We are asked to find the third ratio of (a + b) and (a + b)2.

Formula used:

Third proportion of a and b = b²/a

Calculation:

Third ratio = ((a + b)2)2/(a + b)

Third ratio = (a + b)4/(a + b)

We can simplify this expression:

Third ratio = (a + b)3

∴ The third ratio is (a + b)3.

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