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Finding the Third Proportional to 3,272 and 6,736

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Solution

The third proportional to 3,272 and 6,736 is: 13,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272 : 6,736 = 6,736 : x
  2. Step 2: Convert to fraction form
    3,272/6,736 = 6,736/x
  3. Step 3: Cross multiply
    3,272x = 6,736 × 6,736
  4. Step 4: Simplify right side
    3,272x = 45,373,696
  5. Step 5: Solve for x
    x = 45,373,696/3,272
  6. Step 6: Final answer
    x = 13,867.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.