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Finding the Third Proportional to 16,198 and 21,883

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Solution

The third proportional to 16,198 and 21,883 is: 29,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198 : 21,883 = 21,883 : x
  2. Step 2: Convert to fraction form
    16,198/21,883 = 21,883/x
  3. Step 3: Cross multiply
    16,198x = 21,883 × 21,883
  4. Step 4: Simplify right side
    16,198x = 478,865,689
  5. Step 5: Solve for x
    x = 478,865,689/16,198
  6. Step 6: Final answer
    x = 29,563.26

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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.