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Finding the Third Proportional to 36,474 and 50,251

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Solution

The third proportional to 36,474 and 50,251 is: 69,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 50,251 = 50,251 : x
  2. Step 2: Convert to fraction form
    36,474/50,251 = 50,251/x
  3. Step 3: Cross multiply
    36,474x = 50,251 × 50,251
  4. Step 4: Simplify right side
    36,474x = 2,525,163,001
  5. Step 5: Solve for x
    x = 2,525,163,001/36,474
  6. Step 6: Final answer
    x = 69,231.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.