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Finding the Third Proportional to 3,817.97 and 5,067.56

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Solution

The third proportional to 3,817.97 and 5,067.56 is: 6,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.97 : 5,067.56 = 5,067.56 : x
  2. Step 2: Convert to fraction form
    3,817.97/5,067.56 = 5,067.56/x
  3. Step 3: Cross multiply
    3,817.97x = 5,067.56 × 5,067.56
  4. Step 4: Simplify right side
    3,817.97x = 25,680,189.69
  5. Step 5: Solve for x
    x = 25,680,189.69/3,817.97
  6. Step 6: Final answer
    x = 6,726.14

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.