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Finding the Third Proportional to 49,217.25 and 73,812

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Solution

The third proportional to 49,217.25 and 73,812 is: 110,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,217.25 : 73,812 = 73,812 : x
  2. Step 2: Convert to fraction form
    49,217.25/73,812 = 73,812/x
  3. Step 3: Cross multiply
    49,217.25x = 73,812 × 73,812
  4. Step 4: Simplify right side
    49,217.25x = 5,448,211,344
  5. Step 5: Solve for x
    x = 5,448,211,344/49,217.25
  6. Step 6: Final answer
    x = 110,697.19

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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.