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Finding the Third Proportional to 18,024 and 39,198

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Solution

The third proportional to 18,024 and 39,198 is: 85,246.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,024 : 39,198 = 39,198 : x
  2. Step 2: Convert to fraction form
    18,024/39,198 = 39,198/x
  3. Step 3: Cross multiply
    18,024x = 39,198 × 39,198
  4. Step 4: Simplify right side
    18,024x = 1,536,483,204
  5. Step 5: Solve for x
    x = 1,536,483,204/18,024
  6. Step 6: Final answer
    x = 85,246.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.