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Finding the Third Proportional to 31,704.75 and 34,472.25

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Solution

The third proportional to 31,704.75 and 34,472.25 is: 37,481.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.75 : 34,472.25 = 34,472.25 : x
  2. Step 2: Convert to fraction form
    31,704.75/34,472.25 = 34,472.25/x
  3. Step 3: Cross multiply
    31,704.75x = 34,472.25 × 34,472.25
  4. Step 4: Simplify right side
    31,704.75x = 1,188,336,020.06
  5. Step 5: Solve for x
    x = 1,188,336,020.06/31,704.75
  6. Step 6: Final answer
    x = 37,481.32

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.