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Finding the Third Proportional to 6,759 and 13,677.75

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Solution

The third proportional to 6,759 and 13,677.75 is: 27,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759 : 13,677.75 = 13,677.75 : x
  2. Step 2: Convert to fraction form
    6,759/13,677.75 = 13,677.75/x
  3. Step 3: Cross multiply
    6,759x = 13,677.75 × 13,677.75
  4. Step 4: Simplify right side
    6,759x = 187,080,845.06
  5. Step 5: Solve for x
    x = 187,080,845.06/6,759
  6. Step 6: Final answer
    x = 27,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.