If the third proportional of 3x2 and 4xy is 48, then find the positive value of y.

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SSC CGL 2023 Tier-I Official Paper (Held On: 27 Jul 2023 Shift 2)
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  1. 3
  2. 5
  3. 2
  4. 4

Answer (Detailed Solution Below)

Option 1 : 3
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Detailed Solution

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Given:

The expression = 3x2, 4xy and 48

Concept:

If a, b, and c are in proportion.

\({a\over b}={b\over c}\)

Formula used:

If a, b, and c are in proportion then third proportion

\(c={b^2\over a}\)

Calculation:

According to the question

⇒ 48 = \({({4xy})^2\over 3x^2}={16x^2y^2\over3x^2}={16y^2\over3}\)

⇒ 3 × 3 = y2

⇒ y =√(3 × 3) = 3

∴ The required result will be 3.

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