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Finding the Third Proportional to 3,229.24 and 4,997.64

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Solution

The third proportional to 3,229.24 and 4,997.64 is: 7,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.24 : 4,997.64 = 4,997.64 : x
  2. Step 2: Convert to fraction form
    3,229.24/4,997.64 = 4,997.64/x
  3. Step 3: Cross multiply
    3,229.24x = 4,997.64 × 4,997.64
  4. Step 4: Simplify right side
    3,229.24x = 24,976,372.77
  5. Step 5: Solve for x
    x = 24,976,372.77/3,229.24
  6. Step 6: Final answer
    x = 7,734.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.