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Finding the Third Proportional to 6,844 and 10,744

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Solution

The third proportional to 6,844 and 10,744 is: 16,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844 : 10,744 = 10,744 : x
  2. Step 2: Convert to fraction form
    6,844/10,744 = 10,744/x
  3. Step 3: Cross multiply
    6,844x = 10,744 × 10,744
  4. Step 4: Simplify right side
    6,844x = 115,433,536
  5. Step 5: Solve for x
    x = 115,433,536/6,844
  6. Step 6: Final answer
    x = 16,866.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.