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Finding the Third Proportional to 31,517.44 and 68,284.69

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Solution

The third proportional to 31,517.44 and 68,284.69 is: 147,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,517.44 : 68,284.69 = 68,284.69 : x
  2. Step 2: Convert to fraction form
    31,517.44/68,284.69 = 68,284.69/x
  3. Step 3: Cross multiply
    31,517.44x = 68,284.69 × 68,284.69
  4. Step 4: Simplify right side
    31,517.44x = 4,662,798,546.97
  5. Step 5: Solve for x
    x = 4,662,798,546.97/31,517.44
  6. Step 6: Final answer
    x = 147,943.45

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.