Finding the Third Proportional to 27,732 and 41,952
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Solution
The third proportional to 27,732 and 41,952 is: 63,463.52
Step by Step Solution
- Step 1: Write the proportion equation
27,732 : 41,952 = 41,952 : x - Step 2: Convert to fraction form
27,732/41,952 = 41,952/x - Step 3: Cross multiply
27,732x = 41,952 × 41,952 - Step 4: Simplify right side
27,732x = 1,759,970,304 - Step 5: Solve for x
x = 1,759,970,304/27,732 - Step 6: Final answer
x = 63,463.52
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.