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Finding the Third Proportional to 3,229.24 and 4,655.92

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Solution

The third proportional to 3,229.24 and 4,655.92 is: 6,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.24 : 4,655.92 = 4,655.92 : x
  2. Step 2: Convert to fraction form
    3,229.24/4,655.92 = 4,655.92/x
  3. Step 3: Cross multiply
    3,229.24x = 4,655.92 × 4,655.92
  4. Step 4: Simplify right side
    3,229.24x = 21,677,572.13
  5. Step 5: Solve for x
    x = 21,677,572.13/3,229.24
  6. Step 6: Final answer
    x = 6,712.90

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.