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Finding the Third Proportional to 33,819 and 52,571

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Solution

The third proportional to 33,819 and 52,571 is: 81,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,819 : 52,571 = 52,571 : x
  2. Step 2: Convert to fraction form
    33,819/52,571 = 52,571/x
  3. Step 3: Cross multiply
    33,819x = 52,571 × 52,571
  4. Step 4: Simplify right side
    33,819x = 2,763,710,041
  5. Step 5: Solve for x
    x = 2,763,710,041/33,819
  6. Step 6: Final answer
    x = 81,720.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.