What is the ratio of the mean proportional between 1.6 and 3.6 and the third proportional of 5 and 8?

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 2)
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  1. 2 ∶ 15
  2.  16
  3.  16
  4.  15

Answer (Detailed Solution Below)

Option 3 :  16
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Detailed Solution

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Formula Used:

For 2 numbers a,b,

Mean proportion = √ab

Third proportion = b2/a

Calculation:

Mean proportion of 1.6 and 3.6 = √(1.6 × 3.6)

⇒ 2.4

The third proportion of 5 and 8,

64/5

Required ratio = (2.4 : 64/5) = 12 : 64

⇒ 3 : 16

∴ The required answer is 3 : 16.

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