Finding the Third Proportional to 31,932 and 65,454
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Solution
The third proportional to 31,932 and 65,454 is: 134,167.17
Step by Step Solution
- Step 1: Write the proportion equation
31,932 : 65,454 = 65,454 : x - Step 2: Convert to fraction form
31,932/65,454 = 65,454/x - Step 3: Cross multiply
31,932x = 65,454 × 65,454 - Step 4: Simplify right side
31,932x = 4,284,226,116 - Step 5: Solve for x
x = 4,284,226,116/31,932 - Step 6: Final answer
x = 134,167.17
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.