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Finding the Third Proportional to 39,982 and 58,677

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Solution

The third proportional to 39,982 and 58,677 is: 86,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,982 : 58,677 = 58,677 : x
  2. Step 2: Convert to fraction form
    39,982/58,677 = 58,677/x
  3. Step 3: Cross multiply
    39,982x = 58,677 × 58,677
  4. Step 4: Simplify right side
    39,982x = 3,442,990,329
  5. Step 5: Solve for x
    x = 3,442,990,329/39,982
  6. Step 6: Final answer
    x = 86,113.51

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Why These Related Problems?

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