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Finding the Third Proportional to 3,757 and 8,067.25

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Solution

The third proportional to 3,757 and 8,067.25 is: 17,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757 : 8,067.25 = 8,067.25 : x
  2. Step 2: Convert to fraction form
    3,757/8,067.25 = 8,067.25/x
  3. Step 3: Cross multiply
    3,757x = 8,067.25 × 8,067.25
  4. Step 4: Simplify right side
    3,757x = 65,080,522.56
  5. Step 5: Solve for x
    x = 65,080,522.56/3,757
  6. Step 6: Final answer
    x = 17,322.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.