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Finding the Third Proportional to 37,399 and 82,571

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Solution

The third proportional to 37,399 and 82,571 is: 182,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,399 : 82,571 = 82,571 : x
  2. Step 2: Convert to fraction form
    37,399/82,571 = 82,571/x
  3. Step 3: Cross multiply
    37,399x = 82,571 × 82,571
  4. Step 4: Simplify right side
    37,399x = 6,817,970,041
  5. Step 5: Solve for x
    x = 6,817,970,041/37,399
  6. Step 6: Final answer
    x = 182,303.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.