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Finding the Third Proportional to 19,882 and 41,024

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Solution

The third proportional to 19,882 and 41,024 is: 84,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882 : 41,024 = 41,024 : x
  2. Step 2: Convert to fraction form
    19,882/41,024 = 41,024/x
  3. Step 3: Cross multiply
    19,882x = 41,024 × 41,024
  4. Step 4: Simplify right side
    19,882x = 1,682,968,576
  5. Step 5: Solve for x
    x = 1,682,968,576/19,882
  6. Step 6: Final answer
    x = 84,647.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.