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Finding the Third Proportional to 18,702 and 25,198

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Solution

The third proportional to 18,702 and 25,198 is: 33,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702 : 25,198 = 25,198 : x
  2. Step 2: Convert to fraction form
    18,702/25,198 = 25,198/x
  3. Step 3: Cross multiply
    18,702x = 25,198 × 25,198
  4. Step 4: Simplify right side
    18,702x = 634,939,204
  5. Step 5: Solve for x
    x = 634,939,204/18,702
  6. Step 6: Final answer
    x = 33,950.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.