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Finding the Third Proportional to 39,251 and 58,114

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Solution

The third proportional to 39,251 and 58,114 is: 86,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,251 : 58,114 = 58,114 : x
  2. Step 2: Convert to fraction form
    39,251/58,114 = 58,114/x
  3. Step 3: Cross multiply
    39,251x = 58,114 × 58,114
  4. Step 4: Simplify right side
    39,251x = 3,377,236,996
  5. Step 5: Solve for x
    x = 3,377,236,996/39,251
  6. Step 6: Final answer
    x = 86,042.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.