Finding the Third Proportional to 22,691 and 31,739
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Solution
The third proportional to 22,691 and 31,739 is: 44,394.88
Step by Step Solution
- Step 1: Write the proportion equation
22,691 : 31,739 = 31,739 : x - Step 2: Convert to fraction form
22,691/31,739 = 31,739/x - Step 3: Cross multiply
22,691x = 31,739 × 31,739 - Step 4: Simplify right side
22,691x = 1,007,364,121 - Step 5: Solve for x
x = 1,007,364,121/22,691 - Step 6: Final answer
x = 44,394.88
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.