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Finding the Third Proportional to 6,736 and 10,762

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Solution

The third proportional to 6,736 and 10,762 is: 17,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736 : 10,762 = 10,762 : x
  2. Step 2: Convert to fraction form
    6,736/10,762 = 10,762/x
  3. Step 3: Cross multiply
    6,736x = 10,762 × 10,762
  4. Step 4: Simplify right side
    6,736x = 115,820,644
  5. Step 5: Solve for x
    x = 115,820,644/6,736
  6. Step 6: Final answer
    x = 17,194.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.