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Finding the Third Proportional to 10,249.25 and 22,504.75

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Solution

The third proportional to 10,249.25 and 22,504.75 is: 49,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.25 : 22,504.75 = 22,504.75 : x
  2. Step 2: Convert to fraction form
    10,249.25/22,504.75 = 22,504.75/x
  3. Step 3: Cross multiply
    10,249.25x = 22,504.75 × 22,504.75
  4. Step 4: Simplify right side
    10,249.25x = 506,463,772.56
  5. Step 5: Solve for x
    x = 506,463,772.56/10,249.25
  6. Step 6: Final answer
    x = 49,414.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.