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Finding the Third Proportional to 11,633.25 and 24,249.75

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Solution

The third proportional to 11,633.25 and 24,249.75 is: 50,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.25 : 24,249.75 = 24,249.75 : x
  2. Step 2: Convert to fraction form
    11,633.25/24,249.75 = 24,249.75/x
  3. Step 3: Cross multiply
    11,633.25x = 24,249.75 × 24,249.75
  4. Step 4: Simplify right side
    11,633.25x = 588,050,375.06
  5. Step 5: Solve for x
    x = 588,050,375.06/11,633.25
  6. Step 6: Final answer
    x = 50,549.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.