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Finding the Third Proportional to 50,571 and 72,843

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Solution

The third proportional to 50,571 and 72,843 is: 104,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571 : 72,843 = 72,843 : x
  2. Step 2: Convert to fraction form
    50,571/72,843 = 72,843/x
  3. Step 3: Cross multiply
    50,571x = 72,843 × 72,843
  4. Step 4: Simplify right side
    50,571x = 5,306,102,649
  5. Step 5: Solve for x
    x = 5,306,102,649/50,571
  6. Step 6: Final answer
    x = 104,923.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.