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Finding the Third Proportional to 31,737.75 and 67,587.75

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Solution

The third proportional to 31,737.75 and 67,587.75 is: 143,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.75 : 67,587.75 = 67,587.75 : x
  2. Step 2: Convert to fraction form
    31,737.75/67,587.75 = 67,587.75/x
  3. Step 3: Cross multiply
    31,737.75x = 67,587.75 × 67,587.75
  4. Step 4: Simplify right side
    31,737.75x = 4,568,103,950.06
  5. Step 5: Solve for x
    x = 4,568,103,950.06/31,737.75
  6. Step 6: Final answer
    x = 143,932.82

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.