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Finding the Third Proportional to 6,866 and 11,676

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Solution

The third proportional to 6,866 and 11,676 is: 19,855.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866 : 11,676 = 11,676 : x
  2. Step 2: Convert to fraction form
    6,866/11,676 = 11,676/x
  3. Step 3: Cross multiply
    6,866x = 11,676 × 11,676
  4. Step 4: Simplify right side
    6,866x = 136,328,976
  5. Step 5: Solve for x
    x = 136,328,976/6,866
  6. Step 6: Final answer
    x = 19,855.66

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.