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Finding the Third Proportional to 17,834 and 27,725

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Solution

The third proportional to 17,834 and 27,725 is: 43,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834 : 27,725 = 27,725 : x
  2. Step 2: Convert to fraction form
    17,834/27,725 = 27,725/x
  3. Step 3: Cross multiply
    17,834x = 27,725 × 27,725
  4. Step 4: Simplify right side
    17,834x = 768,675,625
  5. Step 5: Solve for x
    x = 768,675,625/17,834
  6. Step 6: Final answer
    x = 43,101.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.