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Finding the Third Proportional to 38,282 and 82,100

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Solution

The third proportional to 38,282 and 82,100 is: 176,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,282 : 82,100 = 82,100 : x
  2. Step 2: Convert to fraction form
    38,282/82,100 = 82,100/x
  3. Step 3: Cross multiply
    38,282x = 82,100 × 82,100
  4. Step 4: Simplify right side
    38,282x = 6,740,410,000
  5. Step 5: Solve for x
    x = 6,740,410,000/38,282
  6. Step 6: Final answer
    x = 176,072.57

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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.