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Finding the Third Proportional to 18,161 and 25,711

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Solution

The third proportional to 18,161 and 25,711 is: 36,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,161 : 25,711 = 25,711 : x
  2. Step 2: Convert to fraction form
    18,161/25,711 = 25,711/x
  3. Step 3: Cross multiply
    18,161x = 25,711 × 25,711
  4. Step 4: Simplify right side
    18,161x = 661,055,521
  5. Step 5: Solve for x
    x = 661,055,521/18,161
  6. Step 6: Final answer
    x = 36,399.73

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.