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Finding the Third Proportional to 16,508 and 24,902

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Solution

The third proportional to 16,508 and 24,902 is: 37,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508 : 24,902 = 24,902 : x
  2. Step 2: Convert to fraction form
    16,508/24,902 = 24,902/x
  3. Step 3: Cross multiply
    16,508x = 24,902 × 24,902
  4. Step 4: Simplify right side
    16,508x = 620,109,604
  5. Step 5: Solve for x
    x = 620,109,604/16,508
  6. Step 6: Final answer
    x = 37,564.19

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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.