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Finding the Third Proportional to 17,540 and 27,771

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Solution

The third proportional to 17,540 and 27,771 is: 43,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540 : 27,771 = 27,771 : x
  2. Step 2: Convert to fraction form
    17,540/27,771 = 27,771/x
  3. Step 3: Cross multiply
    17,540x = 27,771 × 27,771
  4. Step 4: Simplify right side
    17,540x = 771,228,441
  5. Step 5: Solve for x
    x = 771,228,441/17,540
  6. Step 6: Final answer
    x = 43,969.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.