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Finding the Third Proportional to 7,881.75 and 11,987.25

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Solution

The third proportional to 7,881.75 and 11,987.25 is: 18,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.75 : 11,987.25 = 11,987.25 : x
  2. Step 2: Convert to fraction form
    7,881.75/11,987.25 = 11,987.25/x
  3. Step 3: Cross multiply
    7,881.75x = 11,987.25 × 11,987.25
  4. Step 4: Simplify right side
    7,881.75x = 143,694,162.56
  5. Step 5: Solve for x
    x = 143,694,162.56/7,881.75
  6. Step 6: Final answer
    x = 18,231.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.