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Finding the Third Proportional to 2,167.31 and 4,757.38

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Solution

The third proportional to 2,167.31 and 4,757.38 is: 10,442.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.31 : 4,757.38 = 4,757.38 : x
  2. Step 2: Convert to fraction form
    2,167.31/4,757.38 = 4,757.38/x
  3. Step 3: Cross multiply
    2,167.31x = 4,757.38 × 4,757.38
  4. Step 4: Simplify right side
    2,167.31x = 22,632,616.89
  5. Step 5: Solve for x
    x = 22,632,616.89/2,167.31
  6. Step 6: Final answer
    x = 10,442.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.