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Finding the Third Proportional to 18,162 and 38,787

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Solution

The third proportional to 18,162 and 38,787 is: 82,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162 : 38,787 = 38,787 : x
  2. Step 2: Convert to fraction form
    18,162/38,787 = 38,787/x
  3. Step 3: Cross multiply
    18,162x = 38,787 × 38,787
  4. Step 4: Simplify right side
    18,162x = 1,504,431,369
  5. Step 5: Solve for x
    x = 1,504,431,369/18,162
  6. Step 6: Final answer
    x = 82,834.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.