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Finding the Third Proportional to 31,713.33 and 69,704.16

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Solution

The third proportional to 31,713.33 and 69,704.16 is: 153,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.33 : 69,704.16 = 69,704.16 : x
  2. Step 2: Convert to fraction form
    31,713.33/69,704.16 = 69,704.16/x
  3. Step 3: Cross multiply
    31,713.33x = 69,704.16 × 69,704.16
  4. Step 4: Simplify right side
    31,713.33x = 4,858,669,398.52
  5. Step 5: Solve for x
    x = 4,858,669,398.52/31,713.33
  6. Step 6: Final answer
    x = 153,205.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.