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Finding the Third Proportional to 18,733.50 and 39,198.38

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Solution

The third proportional to 18,733.50 and 39,198.38 is: 82,019.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.50 : 39,198.38 = 39,198.38 : x
  2. Step 2: Convert to fraction form
    18,733.50/39,198.38 = 39,198.38/x
  3. Step 3: Cross multiply
    18,733.50x = 39,198.38 × 39,198.38
  4. Step 4: Simplify right side
    18,733.50x = 1,536,512,602.64
  5. Step 5: Solve for x
    x = 1,536,512,602.64/18,733.50
  6. Step 6: Final answer
    x = 82,019.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.