Question : The mean proportional between 0.03 and 0.0003 is:
Option 1: 0.0003
Option 2: 0.0013
Option 3: 0.003
Option 4: 0.033
Correct Answer: 0.003
Solution : Let $x$ be the mean proportional value. a = 0.03, b = 0.0003 According to the question, $\frac{a}{x} =\frac{x}{b}$ ⇒ $\frac{0.03}{x} = \frac{x}{0.0003}$ ⇒ $x^2 = 0.03 \times 0.0003$ $\therefore x = 0.003$ Hence, the correct answer is 0.003.
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