Finding the Third Proportional to 899 and 1,952
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Solution
The third proportional to 899 and 1,952 is: 4,238.38
Step by Step Solution
- Step 1: Write the proportion equation
899 : 1,952 = 1,952 : x - Step 2: Convert to fraction form
899/1,952 = 1,952/x - Step 3: Cross multiply
899x = 1,952 × 1,952 - Step 4: Simplify right side
899x = 3,810,304 - Step 5: Solve for x
x = 3,810,304/899 - Step 6: Final answer
x = 4,238.38
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.