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Finding the Third Proportional to 18,519 and 40,731

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Solution

The third proportional to 18,519 and 40,731 is: 89,584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,519 : 40,731 = 40,731 : x
  2. Step 2: Convert to fraction form
    18,519/40,731 = 40,731/x
  3. Step 3: Cross multiply
    18,519x = 40,731 × 40,731
  4. Step 4: Simplify right side
    18,519x = 1,659,014,361
  5. Step 5: Solve for x
    x = 1,659,014,361/18,519
  6. Step 6: Final answer
    x = 89,584.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.