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Finding the Third Proportional to 41,424 and 59,193

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Solution

The third proportional to 41,424 and 59,193 is: 84,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424 : 59,193 = 59,193 : x
  2. Step 2: Convert to fraction form
    41,424/59,193 = 59,193/x
  3. Step 3: Cross multiply
    41,424x = 59,193 × 59,193
  4. Step 4: Simplify right side
    41,424x = 3,503,811,249
  5. Step 5: Solve for x
    x = 3,503,811,249/41,424
  6. Step 6: Final answer
    x = 84,584.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.