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Finding the Third Proportional to 15,408 and 38,335.50

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Solution

The third proportional to 15,408 and 38,335.50 is: 95,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 38,335.50 = 38,335.50 : x
  2. Step 2: Convert to fraction form
    15,408/38,335.50 = 38,335.50/x
  3. Step 3: Cross multiply
    15,408x = 38,335.50 × 38,335.50
  4. Step 4: Simplify right side
    15,408x = 1,469,610,560.25
  5. Step 5: Solve for x
    x = 1,469,610,560.25/15,408
  6. Step 6: Final answer
    x = 95,379.71

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.