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Finding the Third Proportional to 41,970 and 58,675

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Solution

The third proportional to 41,970 and 58,675 is: 82,028.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,970 : 58,675 = 58,675 : x
  2. Step 2: Convert to fraction form
    41,970/58,675 = 58,675/x
  3. Step 3: Cross multiply
    41,970x = 58,675 × 58,675
  4. Step 4: Simplify right side
    41,970x = 3,442,755,625
  5. Step 5: Solve for x
    x = 3,442,755,625/41,970
  6. Step 6: Final answer
    x = 82,028.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.