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Finding the Third Proportional to 31,713.61 and 69,704.72

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Solution

The third proportional to 31,713.61 and 69,704.72 is: 153,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.61 : 69,704.72 = 69,704.72 : x
  2. Step 2: Convert to fraction form
    31,713.61/69,704.72 = 69,704.72/x
  3. Step 3: Cross multiply
    31,713.61x = 69,704.72 × 69,704.72
  4. Step 4: Simplify right side
    31,713.61x = 4,858,747,816.02
  5. Step 5: Solve for x
    x = 4,858,747,816.02/31,713.61
  6. Step 6: Final answer
    x = 153,207.03

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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.