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Finding the Third Proportional to 3,912.05 and 8,098.73

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Solution

The third proportional to 3,912.05 and 8,098.73 is: 16,766.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.05 : 8,098.73 = 8,098.73 : x
  2. Step 2: Convert to fraction form
    3,912.05/8,098.73 = 8,098.73/x
  3. Step 3: Cross multiply
    3,912.05x = 8,098.73 × 8,098.73
  4. Step 4: Simplify right side
    3,912.05x = 65,589,498.48
  5. Step 5: Solve for x
    x = 65,589,498.48/3,912.05
  6. Step 6: Final answer
    x = 16,766.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.