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Finding the Third Proportional to 11,443.78 and 22,249.69

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Solution

The third proportional to 11,443.78 and 22,249.69 is: 43,259.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.78 : 22,249.69 = 22,249.69 : x
  2. Step 2: Convert to fraction form
    11,443.78/22,249.69 = 22,249.69/x
  3. Step 3: Cross multiply
    11,443.78x = 22,249.69 × 22,249.69
  4. Step 4: Simplify right side
    11,443.78x = 495,048,593.85
  5. Step 5: Solve for x
    x = 495,048,593.85/11,443.78
  6. Step 6: Final answer
    x = 43,259.18

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.