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Finding the Third Proportional to 39,986 and 58,683

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Solution

The third proportional to 39,986 and 58,683 is: 86,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,986 : 58,683 = 58,683 : x
  2. Step 2: Convert to fraction form
    39,986/58,683 = 58,683/x
  3. Step 3: Cross multiply
    39,986x = 58,683 × 58,683
  4. Step 4: Simplify right side
    39,986x = 3,443,694,489
  5. Step 5: Solve for x
    x = 3,443,694,489/39,986
  6. Step 6: Final answer
    x = 86,122.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.