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Finding the Third Proportional to 41,041 and 67,009

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Solution

The third proportional to 41,041 and 67,009 is: 109,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,041 : 67,009 = 67,009 : x
  2. Step 2: Convert to fraction form
    41,041/67,009 = 67,009/x
  3. Step 3: Cross multiply
    41,041x = 67,009 × 67,009
  4. Step 4: Simplify right side
    41,041x = 4,490,206,081
  5. Step 5: Solve for x
    x = 4,490,206,081/41,041
  6. Step 6: Final answer
    x = 109,407.81

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.