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Finding the Third Proportional to 3,183.05 and 6,826.78

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Solution

The third proportional to 3,183.05 and 6,826.78 is: 14,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.05 : 6,826.78 = 6,826.78 : x
  2. Step 2: Convert to fraction form
    3,183.05/6,826.78 = 6,826.78/x
  3. Step 3: Cross multiply
    3,183.05x = 6,826.78 × 6,826.78
  4. Step 4: Simplify right side
    3,183.05x = 46,604,942.24
  5. Step 5: Solve for x
    x = 46,604,942.24/3,183.05
  6. Step 6: Final answer
    x = 14,641.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.