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Finding the Third Proportional to 3,294.84 and 5,269.78

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Solution

The third proportional to 3,294.84 and 5,269.78 is: 8,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.84 : 5,269.78 = 5,269.78 : x
  2. Step 2: Convert to fraction form
    3,294.84/5,269.78 = 5,269.78/x
  3. Step 3: Cross multiply
    3,294.84x = 5,269.78 × 5,269.78
  4. Step 4: Simplify right side
    3,294.84x = 27,770,594.42
  5. Step 5: Solve for x
    x = 27,770,594.42/3,294.84
  6. Step 6: Final answer
    x = 8,428.50

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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.