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Finding the Third Proportional to 8,163.75 and 12,213.94

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Solution

The third proportional to 8,163.75 and 12,213.94 is: 18,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.75 : 12,213.94 = 12,213.94 : x
  2. Step 2: Convert to fraction form
    8,163.75/12,213.94 = 12,213.94/x
  3. Step 3: Cross multiply
    8,163.75x = 12,213.94 × 12,213.94
  4. Step 4: Simplify right side
    8,163.75x = 149,180,269.25
  5. Step 5: Solve for x
    x = 149,180,269.25/8,163.75
  6. Step 6: Final answer
    x = 18,273.50

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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.