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Finding the Third Proportional to 39,252 and 58,755

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Solution

The third proportional to 39,252 and 58,755 is: 87,948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,252 : 58,755 = 58,755 : x
  2. Step 2: Convert to fraction form
    39,252/58,755 = 58,755/x
  3. Step 3: Cross multiply
    39,252x = 58,755 × 58,755
  4. Step 4: Simplify right side
    39,252x = 3,452,150,025
  5. Step 5: Solve for x
    x = 3,452,150,025/39,252
  6. Step 6: Final answer
    x = 87,948.39

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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.