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Finding the Third Proportional to 47,408 and 73,424

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Solution

The third proportional to 47,408 and 73,424 is: 113,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,408 : 73,424 = 73,424 : x
  2. Step 2: Convert to fraction form
    47,408/73,424 = 73,424/x
  3. Step 3: Cross multiply
    47,408x = 73,424 × 73,424
  4. Step 4: Simplify right side
    47,408x = 5,391,083,776
  5. Step 5: Solve for x
    x = 5,391,083,776/47,408
  6. Step 6: Final answer
    x = 113,716.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.