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Finding the Third Proportional to 3,229.24 and 6,842.92

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Solution

The third proportional to 3,229.24 and 6,842.92 is: 14,500.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.24 : 6,842.92 = 6,842.92 : x
  2. Step 2: Convert to fraction form
    3,229.24/6,842.92 = 6,842.92/x
  3. Step 3: Cross multiply
    3,229.24x = 6,842.92 × 6,842.92
  4. Step 4: Simplify right side
    3,229.24x = 46,825,526.33
  5. Step 5: Solve for x
    x = 46,825,526.33/3,229.24
  6. Step 6: Final answer
    x = 14,500.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.