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Finding the Third Proportional to 12,338 and 16,199

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Solution

The third proportional to 12,338 and 16,199 is: 21,268.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338 : 16,199 = 16,199 : x
  2. Step 2: Convert to fraction form
    12,338/16,199 = 16,199/x
  3. Step 3: Cross multiply
    12,338x = 16,199 × 16,199
  4. Step 4: Simplify right side
    12,338x = 262,407,601
  5. Step 5: Solve for x
    x = 262,407,601/12,338
  6. Step 6: Final answer
    x = 21,268.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.