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Finding the Third Proportional to 14,189 and 19,885

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Solution

The third proportional to 14,189 and 19,885 is: 27,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189 : 19,885 = 19,885 : x
  2. Step 2: Convert to fraction form
    14,189/19,885 = 19,885/x
  3. Step 3: Cross multiply
    14,189x = 19,885 × 19,885
  4. Step 4: Simplify right side
    14,189x = 395,413,225
  5. Step 5: Solve for x
    x = 395,413,225/14,189
  6. Step 6: Final answer
    x = 27,867.59

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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.