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Finding the Third Proportional to 5,473.75 and 8,199.38

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Solution

The third proportional to 5,473.75 and 8,199.38 is: 12,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.75 : 8,199.38 = 8,199.38 : x
  2. Step 2: Convert to fraction form
    5,473.75/8,199.38 = 8,199.38/x
  3. Step 3: Cross multiply
    5,473.75x = 8,199.38 × 8,199.38
  4. Step 4: Simplify right side
    5,473.75x = 67,229,750.39
  5. Step 5: Solve for x
    x = 67,229,750.39/5,473.75
  6. Step 6: Final answer
    x = 12,282.21

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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.