Finding the Third Proportional to 10,272 and 22,498
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Solution
The third proportional to 10,272 and 22,498 is: 49,275.70
Step by Step Solution
- Step 1: Write the proportion equation
10,272 : 22,498 = 22,498 : x - Step 2: Convert to fraction form
10,272/22,498 = 22,498/x - Step 3: Cross multiply
10,272x = 22,498 × 22,498 - Step 4: Simplify right side
10,272x = 506,160,004 - Step 5: Solve for x
x = 506,160,004/10,272 - Step 6: Final answer
x = 49,275.70
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.