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Finding the Third Proportional to 1,351.97 and 1,493.44

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Solution

The third proportional to 1,351.97 and 1,493.44 is: 1,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.97 : 1,493.44 = 1,493.44 : x
  2. Step 2: Convert to fraction form
    1,351.97/1,493.44 = 1,493.44/x
  3. Step 3: Cross multiply
    1,351.97x = 1,493.44 × 1,493.44
  4. Step 4: Simplify right side
    1,351.97x = 2,230,355.57
  5. Step 5: Solve for x
    x = 2,230,355.57/1,351.97
  6. Step 6: Final answer
    x = 1,649.71

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.