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Finding the Third Proportional to 17,794 and 27,913

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Solution

The third proportional to 17,794 and 27,913 is: 43,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,794 : 27,913 = 27,913 : x
  2. Step 2: Convert to fraction form
    17,794/27,913 = 27,913/x
  3. Step 3: Cross multiply
    17,794x = 27,913 × 27,913
  4. Step 4: Simplify right side
    17,794x = 779,135,569
  5. Step 5: Solve for x
    x = 779,135,569/17,794
  6. Step 6: Final answer
    x = 43,786.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.