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Finding the Third Proportional to 19,982 and 40,524

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Solution

The third proportional to 19,982 and 40,524 is: 82,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,982 : 40,524 = 40,524 : x
  2. Step 2: Convert to fraction form
    19,982/40,524 = 40,524/x
  3. Step 3: Cross multiply
    19,982x = 40,524 × 40,524
  4. Step 4: Simplify right side
    19,982x = 1,642,194,576
  5. Step 5: Solve for x
    x = 1,642,194,576/19,982
  6. Step 6: Final answer
    x = 82,183.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.