Find the third proportional of 0.9 and 1.5.
2.5
The correct answer is 2.5.
From the relation, we get $ b^2 = ac $, so $ b = \sqrt{ac} $. Fourth Proportional: If four quantities a, b, c, and d are in proportion such that $ \frac{a}{b} = \frac{c}{d} $, then 'd' is called the fourth proportional to a, b, and c. From the relation, we get $ ad = bc $, so $ d = \frac{bc}{a} $. Understanding these different types of proportionals is key to solving problems involving ratios and proportions.
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