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Finding the Third Proportional to 18,895 and 41,021

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Solution

The third proportional to 18,895 and 41,021 is: 89,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,895 : 41,021 = 41,021 : x
  2. Step 2: Convert to fraction form
    18,895/41,021 = 41,021/x
  3. Step 3: Cross multiply
    18,895x = 41,021 × 41,021
  4. Step 4: Simplify right side
    18,895x = 1,682,722,441
  5. Step 5: Solve for x
    x = 1,682,722,441/18,895
  6. Step 6: Final answer
    x = 89,056.49

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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.