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Finding the Third Proportional to 8,021.50 and 12,396.75

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Solution

The third proportional to 8,021.50 and 12,396.75 is: 19,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.50 : 12,396.75 = 12,396.75 : x
  2. Step 2: Convert to fraction form
    8,021.50/12,396.75 = 12,396.75/x
  3. Step 3: Cross multiply
    8,021.50x = 12,396.75 × 12,396.75
  4. Step 4: Simplify right side
    8,021.50x = 153,679,410.56
  5. Step 5: Solve for x
    x = 153,679,410.56/8,021.50
  6. Step 6: Final answer
    x = 19,158.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.