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Finding the Third Proportional to 31,609.70 and 67,717.27

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Solution

The third proportional to 31,609.70 and 67,717.27 is: 145,070.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.70 : 67,717.27 = 67,717.27 : x
  2. Step 2: Convert to fraction form
    31,609.70/67,717.27 = 67,717.27/x
  3. Step 3: Cross multiply
    31,609.70x = 67,717.27 × 67,717.27
  4. Step 4: Simplify right side
    31,609.70x = 4,585,628,063.73
  5. Step 5: Solve for x
    x = 4,585,628,063.73/31,609.70
  6. Step 6: Final answer
    x = 145,070.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.