Finding the Third Proportional to 8,229 and 17,751
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Solution
The third proportional to 8,229 and 17,751 is: 38,291.17
Step by Step Solution
- Step 1: Write the proportion equation
8,229 : 17,751 = 17,751 : x - Step 2: Convert to fraction form
8,229/17,751 = 17,751/x - Step 3: Cross multiply
8,229x = 17,751 × 17,751 - Step 4: Simplify right side
8,229x = 315,098,001 - Step 5: Solve for x
x = 315,098,001/8,229 - Step 6: Final answer
x = 38,291.17
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.