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Finding the Third Proportional to 11,990.75 and 17,986.25

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Solution

The third proportional to 11,990.75 and 17,986.25 is: 26,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,990.75 : 17,986.25 = 17,986.25 : x
  2. Step 2: Convert to fraction form
    11,990.75/17,986.25 = 17,986.25/x
  3. Step 3: Cross multiply
    11,990.75x = 17,986.25 × 17,986.25
  4. Step 4: Simplify right side
    11,990.75x = 323,505,189.06
  5. Step 5: Solve for x
    x = 323,505,189.06/11,990.75
  6. Step 6: Final answer
    x = 26,979.56

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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.