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Finding the Third Proportional to 3,972.75 and 8,723.44

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Solution

The third proportional to 3,972.75 and 8,723.44 is: 19,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.75 : 8,723.44 = 8,723.44 : x
  2. Step 2: Convert to fraction form
    3,972.75/8,723.44 = 8,723.44/x
  3. Step 3: Cross multiply
    3,972.75x = 8,723.44 × 8,723.44
  4. Step 4: Simplify right side
    3,972.75x = 76,098,361.82
  5. Step 5: Solve for x
    x = 76,098,361.82/3,972.75
  6. Step 6: Final answer
    x = 19,155.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.