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Finding the Third Proportional to 3,924.44 and 5,500.09

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Solution

The third proportional to 3,924.44 and 5,500.09 is: 7,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.44 : 5,500.09 = 5,500.09 : x
  2. Step 2: Convert to fraction form
    3,924.44/5,500.09 = 5,500.09/x
  3. Step 3: Cross multiply
    3,924.44x = 5,500.09 × 5,500.09
  4. Step 4: Simplify right side
    3,924.44x = 30,251,031.26
  5. Step 5: Solve for x
    x = 30,251,031.26/3,924.44
  6. Step 6: Final answer
    x = 7,708.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.