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Finding the Third Proportional to 39,675 and 59,517

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Solution

The third proportional to 39,675 and 59,517 is: 89,282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,675 : 59,517 = 59,517 : x
  2. Step 2: Convert to fraction form
    39,675/59,517 = 59,517/x
  3. Step 3: Cross multiply
    39,675x = 59,517 × 59,517
  4. Step 4: Simplify right side
    39,675x = 3,542,273,289
  5. Step 5: Solve for x
    x = 3,542,273,289/39,675
  6. Step 6: Final answer
    x = 89,282.25

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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.