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Finding the Third Proportional to 39,233.75 and 57,027.25

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Solution

The third proportional to 39,233.75 and 57,027.25 is: 82,890.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,233.75 : 57,027.25 = 57,027.25 : x
  2. Step 2: Convert to fraction form
    39,233.75/57,027.25 = 57,027.25/x
  3. Step 3: Cross multiply
    39,233.75x = 57,027.25 × 57,027.25
  4. Step 4: Simplify right side
    39,233.75x = 3,252,107,242.56
  5. Step 5: Solve for x
    x = 3,252,107,242.56/39,233.75
  6. Step 6: Final answer
    x = 82,890.55

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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.