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Finding the Third Proportional to 10,498 and 22,387

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Solution

The third proportional to 10,498 and 22,387 is: 47,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498 : 22,387 = 22,387 : x
  2. Step 2: Convert to fraction form
    10,498/22,387 = 22,387/x
  3. Step 3: Cross multiply
    10,498x = 22,387 × 22,387
  4. Step 4: Simplify right side
    10,498x = 501,177,769
  5. Step 5: Solve for x
    x = 501,177,769/10,498
  6. Step 6: Final answer
    x = 47,740.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.