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Finding the Third Proportional to 3,229.03 and 6,974.44

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Solution

The third proportional to 3,229.03 and 6,974.44 is: 15,064.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.03 : 6,974.44 = 6,974.44 : x
  2. Step 2: Convert to fraction form
    3,229.03/6,974.44 = 6,974.44/x
  3. Step 3: Cross multiply
    3,229.03x = 6,974.44 × 6,974.44
  4. Step 4: Simplify right side
    3,229.03x = 48,642,778.44
  5. Step 5: Solve for x
    x = 48,642,778.44/3,229.03
  6. Step 6: Final answer
    x = 15,064.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.