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Finding the Third Proportional to 18,871 and 41,018

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Solution

The third proportional to 18,871 and 41,018 is: 89,156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,871 : 41,018 = 41,018 : x
  2. Step 2: Convert to fraction form
    18,871/41,018 = 41,018/x
  3. Step 3: Cross multiply
    18,871x = 41,018 × 41,018
  4. Step 4: Simplify right side
    18,871x = 1,682,476,324
  5. Step 5: Solve for x
    x = 1,682,476,324/18,871
  6. Step 6: Final answer
    x = 89,156.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.