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Finding the Third Proportional to 19,674 and 41,571

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Solution

The third proportional to 19,674 and 41,571 is: 87,839.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,674 : 41,571 = 41,571 : x
  2. Step 2: Convert to fraction form
    19,674/41,571 = 41,571/x
  3. Step 3: Cross multiply
    19,674x = 41,571 × 41,571
  4. Step 4: Simplify right side
    19,674x = 1,728,148,041
  5. Step 5: Solve for x
    x = 1,728,148,041/19,674
  6. Step 6: Final answer
    x = 87,839.18

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.