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Finding the Third Proportional to 39,797.25 and 86,976.75

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Solution

The third proportional to 39,797.25 and 86,976.75 is: 190,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,797.25 : 86,976.75 = 86,976.75 : x
  2. Step 2: Convert to fraction form
    39,797.25/86,976.75 = 86,976.75/x
  3. Step 3: Cross multiply
    39,797.25x = 86,976.75 × 86,976.75
  4. Step 4: Simplify right side
    39,797.25x = 7,564,955,040.56
  5. Step 5: Solve for x
    x = 7,564,955,040.56/39,797.25
  6. Step 6: Final answer
    x = 190,087.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.