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Finding the Third Proportional to 7,249.50 and 16,650.56

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Solution

The third proportional to 7,249.50 and 16,650.56 is: 38,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.50 : 16,650.56 = 16,650.56 : x
  2. Step 2: Convert to fraction form
    7,249.50/16,650.56 = 16,650.56/x
  3. Step 3: Cross multiply
    7,249.50x = 16,650.56 × 16,650.56
  4. Step 4: Simplify right side
    7,249.50x = 277,241,231.57
  5. Step 5: Solve for x
    x = 277,241,231.57/7,249.50
  6. Step 6: Final answer
    x = 38,242.81

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.