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Finding the Third Proportional to 1,244.11 and 2,694.52

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Solution

The third proportional to 1,244.11 and 2,694.52 is: 5,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.11 : 2,694.52 = 2,694.52 : x
  2. Step 2: Convert to fraction form
    1,244.11/2,694.52 = 2,694.52/x
  3. Step 3: Cross multiply
    1,244.11x = 2,694.52 × 2,694.52
  4. Step 4: Simplify right side
    1,244.11x = 7,260,414.45
  5. Step 5: Solve for x
    x = 7,260,414.45/1,244.11
  6. Step 6: Final answer
    x = 5,835.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.