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Finding the Third Proportional to 57,297.38 and 71,391.38

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Solution

The third proportional to 57,297.38 and 71,391.38 is: 88,952.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,297.38 : 71,391.38 = 71,391.38 : x
  2. Step 2: Convert to fraction form
    57,297.38/71,391.38 = 71,391.38/x
  3. Step 3: Cross multiply
    57,297.38x = 71,391.38 × 71,391.38
  4. Step 4: Simplify right side
    57,297.38x = 5,096,728,424.39
  5. Step 5: Solve for x
    x = 5,096,728,424.39/57,297.38
  6. Step 6: Final answer
    x = 88,952.22

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.