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Finding the Third Proportional to 24,338 and 33,909

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Solution

The third proportional to 24,338 and 33,909 is: 47,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,338 : 33,909 = 33,909 : x
  2. Step 2: Convert to fraction form
    24,338/33,909 = 33,909/x
  3. Step 3: Cross multiply
    24,338x = 33,909 × 33,909
  4. Step 4: Simplify right side
    24,338x = 1,149,820,281
  5. Step 5: Solve for x
    x = 1,149,820,281/24,338
  6. Step 6: Final answer
    x = 47,243.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.