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Finding the Third Proportional to 3,269.11 and 7,170.40

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Solution

The third proportional to 3,269.11 and 7,170.40 is: 15,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.11 : 7,170.40 = 7,170.40 : x
  2. Step 2: Convert to fraction form
    3,269.11/7,170.40 = 7,170.40/x
  3. Step 3: Cross multiply
    3,269.11x = 7,170.40 × 7,170.40
  4. Step 4: Simplify right side
    3,269.11x = 51,414,613.75
  5. Step 5: Solve for x
    x = 51,414,613.75/3,269.11
  6. Step 6: Final answer
    x = 15,727.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.