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Finding the Third Proportional to 3,866.06 and 8,874.56

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Solution

The third proportional to 3,866.06 and 8,874.56 is: 20,371.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.06 : 8,874.56 = 8,874.56 : x
  2. Step 2: Convert to fraction form
    3,866.06/8,874.56 = 8,874.56/x
  3. Step 3: Cross multiply
    3,866.06x = 8,874.56 × 8,874.56
  4. Step 4: Simplify right side
    3,866.06x = 78,757,859.57
  5. Step 5: Solve for x
    x = 78,757,859.57/3,866.06
  6. Step 6: Final answer
    x = 20,371.60

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.