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Finding the Third Proportional to 41,972 and 58,683

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Solution

The third proportional to 41,972 and 58,683 is: 82,047.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,972 : 58,683 = 58,683 : x
  2. Step 2: Convert to fraction form
    41,972/58,683 = 58,683/x
  3. Step 3: Cross multiply
    41,972x = 58,683 × 58,683
  4. Step 4: Simplify right side
    41,972x = 3,443,694,489
  5. Step 5: Solve for x
    x = 3,443,694,489/41,972
  6. Step 6: Final answer
    x = 82,047.42

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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.