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Finding the Third Proportional to 2,736 and 3,296

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Solution

The third proportional to 2,736 and 3,296 is: 3,970.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736 : 3,296 = 3,296 : x
  2. Step 2: Convert to fraction form
    2,736/3,296 = 3,296/x
  3. Step 3: Cross multiply
    2,736x = 3,296 × 3,296
  4. Step 4: Simplify right side
    2,736x = 10,863,616
  5. Step 5: Solve for x
    x = 10,863,616/2,736
  6. Step 6: Final answer
    x = 3,970.62

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.