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Finding the Third Proportional to 39,912.75 and 76,727.25

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Solution

The third proportional to 39,912.75 and 76,727.25 is: 147,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,912.75 : 76,727.25 = 76,727.25 : x
  2. Step 2: Convert to fraction form
    39,912.75/76,727.25 = 76,727.25/x
  3. Step 3: Cross multiply
    39,912.75x = 76,727.25 × 76,727.25
  4. Step 4: Simplify right side
    39,912.75x = 5,887,070,892.56
  5. Step 5: Solve for x
    x = 5,887,070,892.56/39,912.75
  6. Step 6: Final answer
    x = 147,498.50

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.