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Finding the Third Proportional to 16,540 and 24,959

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Solution

The third proportional to 16,540 and 24,959 is: 37,663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540 : 24,959 = 24,959 : x
  2. Step 2: Convert to fraction form
    16,540/24,959 = 24,959/x
  3. Step 3: Cross multiply
    16,540x = 24,959 × 24,959
  4. Step 4: Simplify right side
    16,540x = 622,951,681
  5. Step 5: Solve for x
    x = 622,951,681/16,540
  6. Step 6: Final answer
    x = 37,663.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.