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Finding the Third Proportional to 38,197 and 82,244

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Solution

The third proportional to 38,197 and 82,244 is: 177,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,197 : 82,244 = 82,244 : x
  2. Step 2: Convert to fraction form
    38,197/82,244 = 82,244/x
  3. Step 3: Cross multiply
    38,197x = 82,244 × 82,244
  4. Step 4: Simplify right side
    38,197x = 6,764,075,536
  5. Step 5: Solve for x
    x = 6,764,075,536/38,197
  6. Step 6: Final answer
    x = 177,083.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.