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Finding the Third Proportional to 3,984.38 and 10,839.75

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Solution

The third proportional to 3,984.38 and 10,839.75 is: 29,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.38 : 10,839.75 = 10,839.75 : x
  2. Step 2: Convert to fraction form
    3,984.38/10,839.75 = 10,839.75/x
  3. Step 3: Cross multiply
    3,984.38x = 10,839.75 × 10,839.75
  4. Step 4: Simplify right side
    3,984.38x = 117,500,180.06
  5. Step 5: Solve for x
    x = 117,500,180.06/3,984.38
  6. Step 6: Final answer
    x = 29,490.24

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These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.