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Finding the Third Proportional to 6,329 and 12,901

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Solution

The third proportional to 6,329 and 12,901 is: 26,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329 : 12,901 = 12,901 : x
  2. Step 2: Convert to fraction form
    6,329/12,901 = 12,901/x
  3. Step 3: Cross multiply
    6,329x = 12,901 × 12,901
  4. Step 4: Simplify right side
    6,329x = 166,435,801
  5. Step 5: Solve for x
    x = 166,435,801/6,329
  6. Step 6: Final answer
    x = 26,297.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.