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Finding the Third Proportional to 2,183.20 and 4,711.92

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Solution

The third proportional to 2,183.20 and 4,711.92 is: 10,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,183.20 : 4,711.92 = 4,711.92 : x
  2. Step 2: Convert to fraction form
    2,183.20/4,711.92 = 4,711.92/x
  3. Step 3: Cross multiply
    2,183.20x = 4,711.92 × 4,711.92
  4. Step 4: Simplify right side
    2,183.20x = 22,202,207.76
  5. Step 5: Solve for x
    x = 22,202,207.76/2,183.20
  6. Step 6: Final answer
    x = 10,169.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.