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Finding the Third Proportional to 10,879.50 and 16,350

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Solution

The third proportional to 10,879.50 and 16,350 is: 24,571.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.50 : 16,350 = 16,350 : x
  2. Step 2: Convert to fraction form
    10,879.50/16,350 = 16,350/x
  3. Step 3: Cross multiply
    10,879.50x = 16,350 × 16,350
  4. Step 4: Simplify right side
    10,879.50x = 267,322,500
  5. Step 5: Solve for x
    x = 267,322,500/10,879.50
  6. Step 6: Final answer
    x = 24,571.21

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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.