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Finding the Third Proportional to 8,249.50 and 18,131

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Solution

The third proportional to 8,249.50 and 18,131 is: 39,848.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,249.50 : 18,131 = 18,131 : x
  2. Step 2: Convert to fraction form
    8,249.50/18,131 = 18,131/x
  3. Step 3: Cross multiply
    8,249.50x = 18,131 × 18,131
  4. Step 4: Simplify right side
    8,249.50x = 328,733,161
  5. Step 5: Solve for x
    x = 328,733,161/8,249.50
  6. Step 6: Final answer
    x = 39,848.86

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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.