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Finding the Third Proportional to 6,329.39 and 13,163.77

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Solution

The third proportional to 6,329.39 and 13,163.77 is: 27,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.39 : 13,163.77 = 13,163.77 : x
  2. Step 2: Convert to fraction form
    6,329.39/13,163.77 = 13,163.77/x
  3. Step 3: Cross multiply
    6,329.39x = 13,163.77 × 13,163.77
  4. Step 4: Simplify right side
    6,329.39x = 173,284,725.43
  5. Step 5: Solve for x
    x = 173,284,725.43/6,329.39
  6. Step 6: Final answer
    x = 27,377.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.