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Finding the Third Proportional to 36,789.75 and 80,259.75

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Solution

The third proportional to 36,789.75 and 80,259.75 is: 175,092.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,789.75 : 80,259.75 = 80,259.75 : x
  2. Step 2: Convert to fraction form
    36,789.75/80,259.75 = 80,259.75/x
  3. Step 3: Cross multiply
    36,789.75x = 80,259.75 × 80,259.75
  4. Step 4: Simplify right side
    36,789.75x = 6,441,627,470.06
  5. Step 5: Solve for x
    x = 6,441,627,470.06/36,789.75
  6. Step 6: Final answer
    x = 175,092.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.