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Finding the Third Proportional to 14,188 and 19,834

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Solution

The third proportional to 14,188 and 19,834 is: 27,726.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188 : 19,834 = 19,834 : x
  2. Step 2: Convert to fraction form
    14,188/19,834 = 19,834/x
  3. Step 3: Cross multiply
    14,188x = 19,834 × 19,834
  4. Step 4: Simplify right side
    14,188x = 393,387,556
  5. Step 5: Solve for x
    x = 393,387,556/14,188
  6. Step 6: Final answer
    x = 27,726.78

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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.