What is the third proportional to 0.34 and 0.50?

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TNPSC Group 1 Services Prelims 2015 Official Paper
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  1. 0.74
  2. 0.75
  3. 0.76
  4. 0.77

Answer (Detailed Solution Below)

Option 1 : 0.74
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Detailed Solution

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Given:

The first number (a) = 0.34

The second number (b) = 0.50

Formula used:

Third proportional (c) to a and b is given by:

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

Calculation:

\(\frac{0.50}{0.34} = \frac{c}{0.50}\)

\(c = \frac{0.50 \times 0.50}{0.34}\)

\(c = \frac{0.25}{0.34}\)

⇒ c ≈ 0.74

∴ The correct answer is option 1.

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