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Finding the Third Proportional to 25,438 and 53,198

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Solution

The third proportional to 25,438 and 53,198 is: 111,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 53,198 = 53,198 : x
  2. Step 2: Convert to fraction form
    25,438/53,198 = 53,198/x
  3. Step 3: Cross multiply
    25,438x = 53,198 × 53,198
  4. Step 4: Simplify right side
    25,438x = 2,830,027,204
  5. Step 5: Solve for x
    x = 2,830,027,204/25,438
  6. Step 6: Final answer
    x = 111,251.95

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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.