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Finding the Third Proportional to 2,711.92 and 5,769.04

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Solution

The third proportional to 2,711.92 and 5,769.04 is: 12,272.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.92 : 5,769.04 = 5,769.04 : x
  2. Step 2: Convert to fraction form
    2,711.92/5,769.04 = 5,769.04/x
  3. Step 3: Cross multiply
    2,711.92x = 5,769.04 × 5,769.04
  4. Step 4: Simplify right side
    2,711.92x = 33,281,766.63
  5. Step 5: Solve for x
    x = 33,281,766.63/2,711.92
  6. Step 6: Final answer
    x = 12,272.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.