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Finding the Third Proportional to 17,917 and 27,836

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Solution

The third proportional to 17,917 and 27,836 is: 43,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917 : 27,836 = 27,836 : x
  2. Step 2: Convert to fraction form
    17,917/27,836 = 27,836/x
  3. Step 3: Cross multiply
    17,917x = 27,836 × 27,836
  4. Step 4: Simplify right side
    17,917x = 774,842,896
  5. Step 5: Solve for x
    x = 774,842,896/17,917
  6. Step 6: Final answer
    x = 43,246.24

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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.