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Finding the Third Proportional to 31,843.75 and 67,480.25

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Solution

The third proportional to 31,843.75 and 67,480.25 is: 142,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.75 : 67,480.25 = 67,480.25 : x
  2. Step 2: Convert to fraction form
    31,843.75/67,480.25 = 67,480.25/x
  3. Step 3: Cross multiply
    31,843.75x = 67,480.25 × 67,480.25
  4. Step 4: Simplify right side
    31,843.75x = 4,553,584,140.06
  5. Step 5: Solve for x
    x = 4,553,584,140.06/31,843.75
  6. Step 6: Final answer
    x = 142,997.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.