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Finding the Third Proportional to 31,957.50 and 68,016

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Solution

The third proportional to 31,957.50 and 68,016 is: 144,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,957.50 : 68,016 = 68,016 : x
  2. Step 2: Convert to fraction form
    31,957.50/68,016 = 68,016/x
  3. Step 3: Cross multiply
    31,957.50x = 68,016 × 68,016
  4. Step 4: Simplify right side
    31,957.50x = 4,626,176,256
  5. Step 5: Solve for x
    x = 4,626,176,256/31,957.50
  6. Step 6: Final answer
    x = 144,760.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.