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Finding the Third Proportional to 16,085 and 21,199

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Solution

The third proportional to 16,085 and 21,199 is: 27,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085 : 21,199 = 21,199 : x
  2. Step 2: Convert to fraction form
    16,085/21,199 = 21,199/x
  3. Step 3: Cross multiply
    16,085x = 21,199 × 21,199
  4. Step 4: Simplify right side
    16,085x = 449,397,601
  5. Step 5: Solve for x
    x = 449,397,601/16,085
  6. Step 6: Final answer
    x = 27,938.92

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.