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Finding the Third Proportional to 6,736 and 11,960

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Solution

The third proportional to 6,736 and 11,960 is: 21,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 11,960 = 11,960 : x
  2. Step 2: Convert to fraction form
    6,736/11,960 = 11,960/x
  3. Step 3: Cross multiply
    6,736x = 11,960 × 11,960
  4. Step 4: Simplify right side
    6,736x = 143,041,600
  5. Step 5: Solve for x
    x = 143,041,600/6,736
  6. Step 6: Final answer
    x = 21,235.39

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.