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Finding the Third Proportional to 3,839.25 and 8,064.75

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Solution

The third proportional to 3,839.25 and 8,064.75 is: 16,940.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.25 : 8,064.75 = 8,064.75 : x
  2. Step 2: Convert to fraction form
    3,839.25/8,064.75 = 8,064.75/x
  3. Step 3: Cross multiply
    3,839.25x = 8,064.75 × 8,064.75
  4. Step 4: Simplify right side
    3,839.25x = 65,040,192.56
  5. Step 5: Solve for x
    x = 65,040,192.56/3,839.25
  6. Step 6: Final answer
    x = 16,940.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.