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Finding the Third Proportional to 3,717.28 and 8,163.56

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Solution

The third proportional to 3,717.28 and 8,163.56 is: 17,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.28 : 8,163.56 = 8,163.56 : x
  2. Step 2: Convert to fraction form
    3,717.28/8,163.56 = 8,163.56/x
  3. Step 3: Cross multiply
    3,717.28x = 8,163.56 × 8,163.56
  4. Step 4: Simplify right side
    3,717.28x = 66,643,752.69
  5. Step 5: Solve for x
    x = 66,643,752.69/3,717.28
  6. Step 6: Final answer
    x = 17,928.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.