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Finding the Third Proportional to 14,079 and 19,801

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Solution

The third proportional to 14,079 and 19,801 is: 27,848.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,079 : 19,801 = 19,801 : x
  2. Step 2: Convert to fraction form
    14,079/19,801 = 19,801/x
  3. Step 3: Cross multiply
    14,079x = 19,801 × 19,801
  4. Step 4: Simplify right side
    14,079x = 392,079,601
  5. Step 5: Solve for x
    x = 392,079,601/14,079
  6. Step 6: Final answer
    x = 27,848.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.