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Finding the Third Proportional to 22,438 and 35,198

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Solution

The third proportional to 22,438 and 35,198 is: 55,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438 : 35,198 = 35,198 : x
  2. Step 2: Convert to fraction form
    22,438/35,198 = 35,198/x
  3. Step 3: Cross multiply
    22,438x = 35,198 × 35,198
  4. Step 4: Simplify right side
    22,438x = 1,238,899,204
  5. Step 5: Solve for x
    x = 1,238,899,204/22,438
  6. Step 6: Final answer
    x = 55,214.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.