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Finding the Third Proportional to 2,650.22 and 5,519.39

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Solution

The third proportional to 2,650.22 and 5,519.39 is: 11,494.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.22 : 5,519.39 = 5,519.39 : x
  2. Step 2: Convert to fraction form
    2,650.22/5,519.39 = 5,519.39/x
  3. Step 3: Cross multiply
    2,650.22x = 5,519.39 × 5,519.39
  4. Step 4: Simplify right side
    2,650.22x = 30,463,672.87
  5. Step 5: Solve for x
    x = 30,463,672.87/2,650.22
  6. Step 6: Final answer
    x = 11,494.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.