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Finding the Third Proportional to 16,537 and 24,809

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Solution

The third proportional to 16,537 and 24,809 is: 37,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,537 : 24,809 = 24,809 : x
  2. Step 2: Convert to fraction form
    16,537/24,809 = 24,809/x
  3. Step 3: Cross multiply
    16,537x = 24,809 × 24,809
  4. Step 4: Simplify right side
    16,537x = 615,486,481
  5. Step 5: Solve for x
    x = 615,486,481/16,537
  6. Step 6: Final answer
    x = 37,218.75

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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.