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Finding the Third Proportional to 18,231.75 and 39,380.06

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Solution

The third proportional to 18,231.75 and 39,380.06 is: 85,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,231.75 : 39,380.06 = 39,380.06 : x
  2. Step 2: Convert to fraction form
    18,231.75/39,380.06 = 39,380.06/x
  3. Step 3: Cross multiply
    18,231.75x = 39,380.06 × 39,380.06
  4. Step 4: Simplify right side
    18,231.75x = 1,550,789,322.50
  5. Step 5: Solve for x
    x = 1,550,789,322.50/18,231.75
  6. Step 6: Final answer
    x = 85,059.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.