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Finding the Third Proportional to 8,163.28 and 12,563.86

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Solution

The third proportional to 8,163.28 and 12,563.86 is: 19,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,163.28 : 12,563.86 = 12,563.86 : x
  2. Step 2: Convert to fraction form
    8,163.28/12,563.86 = 12,563.86/x
  3. Step 3: Cross multiply
    8,163.28x = 12,563.86 × 12,563.86
  4. Step 4: Simplify right side
    8,163.28x = 157,850,562.39
  5. Step 5: Solve for x
    x = 157,850,562.39/8,163.28
  6. Step 6: Final answer
    x = 19,336.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.