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Finding the Third Proportional to 769.92 and 1,568.11

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Solution

The third proportional to 769.92 and 1,568.11 is: 3,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.92 : 1,568.11 = 1,568.11 : x
  2. Step 2: Convert to fraction form
    769.92/1,568.11 = 1,568.11/x
  3. Step 3: Cross multiply
    769.92x = 1,568.11 × 1,568.11
  4. Step 4: Simplify right side
    769.92x = 2,458,967.01
  5. Step 5: Solve for x
    x = 2,458,967.01/769.92
  6. Step 6: Final answer
    x = 3,193.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.