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Finding the Third Proportional to 41,586 and 58,200

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Solution

The third proportional to 41,586 and 58,200 is: 81,451.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 58,200 = 58,200 : x
  2. Step 2: Convert to fraction form
    41,586/58,200 = 58,200/x
  3. Step 3: Cross multiply
    41,586x = 58,200 × 58,200
  4. Step 4: Simplify right side
    41,586x = 3,387,240,000
  5. Step 5: Solve for x
    x = 3,387,240,000/41,586
  6. Step 6: Final answer
    x = 81,451.45

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