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Finding the Third Proportional to 3,849.44 and 5,363.22

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Solution

The third proportional to 3,849.44 and 5,363.22 is: 7,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.44 : 5,363.22 = 5,363.22 : x
  2. Step 2: Convert to fraction form
    3,849.44/5,363.22 = 5,363.22/x
  3. Step 3: Cross multiply
    3,849.44x = 5,363.22 × 5,363.22
  4. Step 4: Simplify right side
    3,849.44x = 28,764,115.36
  5. Step 5: Solve for x
    x = 28,764,115.36/3,849.44
  6. Step 6: Final answer
    x = 7,472.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.