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Finding the Third Proportional to 31,713.75 and 69,369.75

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Solution

The third proportional to 31,713.75 and 69,369.75 is: 151,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,713.75 : 69,369.75 = 69,369.75 : x
  2. Step 2: Convert to fraction form
    31,713.75/69,369.75 = 69,369.75/x
  3. Step 3: Cross multiply
    31,713.75x = 69,369.75 × 69,369.75
  4. Step 4: Simplify right side
    31,713.75x = 4,812,162,215.06
  5. Step 5: Solve for x
    x = 4,812,162,215.06/31,713.75
  6. Step 6: Final answer
    x = 151,737.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.