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Finding the Third Proportional to 34,493 and 50,241

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Solution

The third proportional to 34,493 and 50,241 is: 73,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493 : 50,241 = 50,241 : x
  2. Step 2: Convert to fraction form
    34,493/50,241 = 50,241/x
  3. Step 3: Cross multiply
    34,493x = 50,241 × 50,241
  4. Step 4: Simplify right side
    34,493x = 2,524,158,081
  5. Step 5: Solve for x
    x = 2,524,158,081/34,493
  6. Step 6: Final answer
    x = 73,178.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.