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Finding the Third Proportional to 11,997.75 and 19,168.50

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Solution

The third proportional to 11,997.75 and 19,168.50 is: 30,625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.75 : 19,168.50 = 19,168.50 : x
  2. Step 2: Convert to fraction form
    11,997.75/19,168.50 = 19,168.50/x
  3. Step 3: Cross multiply
    11,997.75x = 19,168.50 × 19,168.50
  4. Step 4: Simplify right side
    11,997.75x = 367,431,392.25
  5. Step 5: Solve for x
    x = 367,431,392.25/11,997.75
  6. Step 6: Final answer
    x = 30,625.02

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.