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Finding the Third Proportional to 6,166 and 7,801

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Solution

The third proportional to 6,166 and 7,801 is: 9,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166 : 7,801 = 7,801 : x
  2. Step 2: Convert to fraction form
    6,166/7,801 = 7,801/x
  3. Step 3: Cross multiply
    6,166x = 7,801 × 7,801
  4. Step 4: Simplify right side
    6,166x = 60,855,601
  5. Step 5: Solve for x
    x = 60,855,601/6,166
  6. Step 6: Final answer
    x = 9,869.54

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.