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Finding the Third Proportional to 38,241 and 82,341

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Solution

The third proportional to 38,241 and 82,341 is: 177,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,241 : 82,341 = 82,341 : x
  2. Step 2: Convert to fraction form
    38,241/82,341 = 82,341/x
  3. Step 3: Cross multiply
    38,241x = 82,341 × 82,341
  4. Step 4: Simplify right side
    38,241x = 6,780,040,281
  5. Step 5: Solve for x
    x = 6,780,040,281/38,241
  6. Step 6: Final answer
    x = 177,297.67

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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.