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Finding the Third Proportional to 41,842 and 58,657

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Solution

The third proportional to 41,842 and 58,657 is: 82,229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842 : 58,657 = 58,657 : x
  2. Step 2: Convert to fraction form
    41,842/58,657 = 58,657/x
  3. Step 3: Cross multiply
    41,842x = 58,657 × 58,657
  4. Step 4: Simplify right side
    41,842x = 3,440,643,649
  5. Step 5: Solve for x
    x = 3,440,643,649/41,842
  6. Step 6: Final answer
    x = 82,229.43

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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.