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Finding the Third Proportional to 38,982 and 58,825

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Solution

The third proportional to 38,982 and 58,825 is: 88,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982 : 58,825 = 58,825 : x
  2. Step 2: Convert to fraction form
    38,982/58,825 = 58,825/x
  3. Step 3: Cross multiply
    38,982x = 58,825 × 58,825
  4. Step 4: Simplify right side
    38,982x = 3,460,380,625
  5. Step 5: Solve for x
    x = 3,460,380,625/38,982
  6. Step 6: Final answer
    x = 88,768.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.