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Finding the Third Proportional to 10,499 and 15,721

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Solution

The third proportional to 10,499 and 15,721 is: 23,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499 : 15,721 = 15,721 : x
  2. Step 2: Convert to fraction form
    10,499/15,721 = 15,721/x
  3. Step 3: Cross multiply
    10,499x = 15,721 × 15,721
  4. Step 4: Simplify right side
    10,499x = 247,149,841
  5. Step 5: Solve for x
    x = 247,149,841/10,499
  6. Step 6: Final answer
    x = 23,540.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.