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Finding the Third Proportional to 16,198 and 25,761

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Solution

The third proportional to 16,198 and 25,761 is: 40,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198 : 25,761 = 25,761 : x
  2. Step 2: Convert to fraction form
    16,198/25,761 = 25,761/x
  3. Step 3: Cross multiply
    16,198x = 25,761 × 25,761
  4. Step 4: Simplify right side
    16,198x = 663,629,121
  5. Step 5: Solve for x
    x = 663,629,121/16,198
  6. Step 6: Final answer
    x = 40,969.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.