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Finding the Third Proportional to 18,244 and 25,836

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Solution

The third proportional to 18,244 and 25,836 is: 36,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,244 : 25,836 = 25,836 : x
  2. Step 2: Convert to fraction form
    18,244/25,836 = 25,836/x
  3. Step 3: Cross multiply
    18,244x = 25,836 × 25,836
  4. Step 4: Simplify right side
    18,244x = 667,498,896
  5. Step 5: Solve for x
    x = 667,498,896/18,244
  6. Step 6: Final answer
    x = 36,587.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.