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Finding the Third Proportional to 54,828.50 and 82,022.75

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Solution

The third proportional to 54,828.50 and 82,022.75 is: 122,705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,828.50 : 82,022.75 = 82,022.75 : x
  2. Step 2: Convert to fraction form
    54,828.50/82,022.75 = 82,022.75/x
  3. Step 3: Cross multiply
    54,828.50x = 82,022.75 × 82,022.75
  4. Step 4: Simplify right side
    54,828.50x = 6,727,731,517.56
  5. Step 5: Solve for x
    x = 6,727,731,517.56/54,828.50
  6. Step 6: Final answer
    x = 122,705.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.