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Finding the Third Proportional to 10,400.25 and 16,524.75

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Solution

The third proportional to 10,400.25 and 16,524.75 is: 26,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.25 : 16,524.75 = 16,524.75 : x
  2. Step 2: Convert to fraction form
    10,400.25/16,524.75 = 16,524.75/x
  3. Step 3: Cross multiply
    10,400.25x = 16,524.75 × 16,524.75
  4. Step 4: Simplify right side
    10,400.25x = 273,067,362.56
  5. Step 5: Solve for x
    x = 273,067,362.56/10,400.25
  6. Step 6: Final answer
    x = 26,255.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.