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Finding the Third Proportional to 17,777 and 26,801

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Solution

The third proportional to 17,777 and 26,801 is: 40,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,777 : 26,801 = 26,801 : x
  2. Step 2: Convert to fraction form
    17,777/26,801 = 26,801/x
  3. Step 3: Cross multiply
    17,777x = 26,801 × 26,801
  4. Step 4: Simplify right side
    17,777x = 718,293,601
  5. Step 5: Solve for x
    x = 718,293,601/17,777
  6. Step 6: Final answer
    x = 40,405.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.