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Finding the Third Proportional to 41,022 and 89,635.50

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Solution

The third proportional to 41,022 and 89,635.50 is: 195,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,022 : 89,635.50 = 89,635.50 : x
  2. Step 2: Convert to fraction form
    41,022/89,635.50 = 89,635.50/x
  3. Step 3: Cross multiply
    41,022x = 89,635.50 × 89,635.50
  4. Step 4: Simplify right side
    41,022x = 8,034,522,860.25
  5. Step 5: Solve for x
    x = 8,034,522,860.25/41,022
  6. Step 6: Final answer
    x = 195,858.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.