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Finding the Third Proportional to 18,162 and 38,628

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Solution

The third proportional to 18,162 and 38,628 is: 82,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162 : 38,628 = 38,628 : x
  2. Step 2: Convert to fraction form
    18,162/38,628 = 38,628/x
  3. Step 3: Cross multiply
    18,162x = 38,628 × 38,628
  4. Step 4: Simplify right side
    18,162x = 1,492,122,384
  5. Step 5: Solve for x
    x = 1,492,122,384/18,162
  6. Step 6: Final answer
    x = 82,156.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.