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Finding the Third Proportional to 6,801 and 14,169

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Solution

The third proportional to 6,801 and 14,169 is: 29,519.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801 : 14,169 = 14,169 : x
  2. Step 2: Convert to fraction form
    6,801/14,169 = 14,169/x
  3. Step 3: Cross multiply
    6,801x = 14,169 × 14,169
  4. Step 4: Simplify right side
    6,801x = 200,760,561
  5. Step 5: Solve for x
    x = 200,760,561/6,801
  6. Step 6: Final answer
    x = 29,519.27

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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.