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Finding the Third Proportional to 12,204.75 and 16,578.75

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Solution

The third proportional to 12,204.75 and 16,578.75 is: 22,520.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.75 : 16,578.75 = 16,578.75 : x
  2. Step 2: Convert to fraction form
    12,204.75/16,578.75 = 16,578.75/x
  3. Step 3: Cross multiply
    12,204.75x = 16,578.75 × 16,578.75
  4. Step 4: Simplify right side
    12,204.75x = 274,854,951.56
  5. Step 5: Solve for x
    x = 274,854,951.56/12,204.75
  6. Step 6: Final answer
    x = 22,520.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.