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Finding the Third Proportional to 18,869 and 41,014

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Solution

The third proportional to 18,869 and 41,014 is: 89,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,869 : 41,014 = 41,014 : x
  2. Step 2: Convert to fraction form
    18,869/41,014 = 41,014/x
  3. Step 3: Cross multiply
    18,869x = 41,014 × 41,014
  4. Step 4: Simplify right side
    18,869x = 1,682,148,196
  5. Step 5: Solve for x
    x = 1,682,148,196/18,869
  6. Step 6: Final answer
    x = 89,148.77

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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.