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Finding the Third Proportional to 6,691 and 14,116

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Solution

The third proportional to 6,691 and 14,116 is: 29,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691 : 14,116 = 14,116 : x
  2. Step 2: Convert to fraction form
    6,691/14,116 = 14,116/x
  3. Step 3: Cross multiply
    6,691x = 14,116 × 14,116
  4. Step 4: Simplify right side
    6,691x = 199,261,456
  5. Step 5: Solve for x
    x = 199,261,456/6,691
  6. Step 6: Final answer
    x = 29,780.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.