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Finding the Third Proportional to 2,011.92 and 4,414.92

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Solution

The third proportional to 2,011.92 and 4,414.92 is: 9,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.92 : 4,414.92 = 4,414.92 : x
  2. Step 2: Convert to fraction form
    2,011.92/4,414.92 = 4,414.92/x
  3. Step 3: Cross multiply
    2,011.92x = 4,414.92 × 4,414.92
  4. Step 4: Simplify right side
    2,011.92x = 19,491,535.16
  5. Step 5: Solve for x
    x = 19,491,535.16/2,011.92
  6. Step 6: Final answer
    x = 9,688.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.