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Finding the Third Proportional to 38,573 and 80,218

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Solution

The third proportional to 38,573 and 80,218 is: 166,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,573 : 80,218 = 80,218 : x
  2. Step 2: Convert to fraction form
    38,573/80,218 = 80,218/x
  3. Step 3: Cross multiply
    38,573x = 80,218 × 80,218
  4. Step 4: Simplify right side
    38,573x = 6,434,927,524
  5. Step 5: Solve for x
    x = 6,434,927,524/38,573
  6. Step 6: Final answer
    x = 166,824.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.