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Finding the Third Proportional to 2,764.13 and 5,408.44

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Solution

The third proportional to 2,764.13 and 5,408.44 is: 10,582.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.13 : 5,408.44 = 5,408.44 : x
  2. Step 2: Convert to fraction form
    2,764.13/5,408.44 = 5,408.44/x
  3. Step 3: Cross multiply
    2,764.13x = 5,408.44 × 5,408.44
  4. Step 4: Simplify right side
    2,764.13x = 29,251,196.19
  5. Step 5: Solve for x
    x = 29,251,196.19/2,764.13
  6. Step 6: Final answer
    x = 10,582.44

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.