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Finding the Third Proportional to 39,067.88 and 83,960.25

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Solution

The third proportional to 39,067.88 and 83,960.25 is: 180,437.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,067.88 : 83,960.25 = 83,960.25 : x
  2. Step 2: Convert to fraction form
    39,067.88/83,960.25 = 83,960.25/x
  3. Step 3: Cross multiply
    39,067.88x = 83,960.25 × 83,960.25
  4. Step 4: Simplify right side
    39,067.88x = 7,049,323,580.06
  5. Step 5: Solve for x
    x = 7,049,323,580.06/39,067.88
  6. Step 6: Final answer
    x = 180,437.86

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.