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Finding the Third Proportional to 39,234.75 and 57,028.75

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Solution

The third proportional to 39,234.75 and 57,028.75 is: 82,892.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,234.75 : 57,028.75 = 57,028.75 : x
  2. Step 2: Convert to fraction form
    39,234.75/57,028.75 = 57,028.75/x
  3. Step 3: Cross multiply
    39,234.75x = 57,028.75 × 57,028.75
  4. Step 4: Simplify right side
    39,234.75x = 3,252,278,326.56
  5. Step 5: Solve for x
    x = 3,252,278,326.56/39,234.75
  6. Step 6: Final answer
    x = 82,892.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.