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Finding the Third Proportional to 16,418 and 24,762

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Solution

The third proportional to 16,418 and 24,762 is: 37,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418 : 24,762 = 24,762 : x
  2. Step 2: Convert to fraction form
    16,418/24,762 = 24,762/x
  3. Step 3: Cross multiply
    16,418x = 24,762 × 24,762
  4. Step 4: Simplify right side
    16,418x = 613,156,644
  5. Step 5: Solve for x
    x = 613,156,644/16,418
  6. Step 6: Final answer
    x = 37,346.61

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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.