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Finding the Third Proportional to 31,516.12 and 68,282.37

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Solution

The third proportional to 31,516.12 and 68,282.37 is: 147,939.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,516.12 : 68,282.37 = 68,282.37 : x
  2. Step 2: Convert to fraction form
    31,516.12/68,282.37 = 68,282.37/x
  3. Step 3: Cross multiply
    31,516.12x = 68,282.37 × 68,282.37
  4. Step 4: Simplify right side
    31,516.12x = 4,662,481,668.73
  5. Step 5: Solve for x
    x = 4,662,481,668.73/31,516.12
  6. Step 6: Final answer
    x = 147,939.59

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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.