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Finding the Third Proportional to 39,038 and 58,451

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Solution

The third proportional to 39,038 and 58,451 is: 87,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,038 : 58,451 = 58,451 : x
  2. Step 2: Convert to fraction form
    39,038/58,451 = 58,451/x
  3. Step 3: Cross multiply
    39,038x = 58,451 × 58,451
  4. Step 4: Simplify right side
    39,038x = 3,416,519,401
  5. Step 5: Solve for x
    x = 3,416,519,401/39,038
  6. Step 6: Final answer
    x = 87,517.79

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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.