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Finding the Third Proportional to 43,982 and 67,665

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Solution

The third proportional to 43,982 and 67,665 is: 104,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,982 : 67,665 = 67,665 : x
  2. Step 2: Convert to fraction form
    43,982/67,665 = 67,665/x
  3. Step 3: Cross multiply
    43,982x = 67,665 × 67,665
  4. Step 4: Simplify right side
    43,982x = 4,578,552,225
  5. Step 5: Solve for x
    x = 4,578,552,225/43,982
  6. Step 6: Final answer
    x = 104,100.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.