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Finding the Third Proportional to 2,173.08 and 3,269.74

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Solution

The third proportional to 2,173.08 and 3,269.74 is: 4,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.08 : 3,269.74 = 3,269.74 : x
  2. Step 2: Convert to fraction form
    2,173.08/3,269.74 = 3,269.74/x
  3. Step 3: Cross multiply
    2,173.08x = 3,269.74 × 3,269.74
  4. Step 4: Simplify right side
    2,173.08x = 10,691,213.97
  5. Step 5: Solve for x
    x = 10,691,213.97/2,173.08
  6. Step 6: Final answer
    x = 4,919.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.