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Finding the Third Proportional to 4,099.78 and 8,847.56

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Solution

The third proportional to 4,099.78 and 8,847.56 is: 19,093.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.78 : 8,847.56 = 8,847.56 : x
  2. Step 2: Convert to fraction form
    4,099.78/8,847.56 = 8,847.56/x
  3. Step 3: Cross multiply
    4,099.78x = 8,847.56 × 8,847.56
  4. Step 4: Simplify right side
    4,099.78x = 78,279,362.19
  5. Step 5: Solve for x
    x = 78,279,362.19/4,099.78
  6. Step 6: Final answer
    x = 19,093.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.