Finding the Third Proportional to 22,241 and 31,657
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Solution
The third proportional to 22,241 and 31,657 is: 45,059.38
Step by Step Solution
- Step 1: Write the proportion equation
22,241 : 31,657 = 31,657 : x - Step 2: Convert to fraction form
22,241/31,657 = 31,657/x - Step 3: Cross multiply
22,241x = 31,657 × 31,657 - Step 4: Simplify right side
22,241x = 1,002,165,649 - Step 5: Solve for x
x = 1,002,165,649/22,241 - Step 6: Final answer
x = 45,059.38
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.