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Finding the Third Proportional to 14,001 and 19,599

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Solution

The third proportional to 14,001 and 19,599 is: 27,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,001 : 19,599 = 19,599 : x
  2. Step 2: Convert to fraction form
    14,001/19,599 = 19,599/x
  3. Step 3: Cross multiply
    14,001x = 19,599 × 19,599
  4. Step 4: Simplify right side
    14,001x = 384,120,801
  5. Step 5: Solve for x
    x = 384,120,801/14,001
  6. Step 6: Final answer
    x = 27,435.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.