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Finding the Third Proportional to 3,199.78 and 4,844.39

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Solution

The third proportional to 3,199.78 and 4,844.39 is: 7,334.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.78 : 4,844.39 = 4,844.39 : x
  2. Step 2: Convert to fraction form
    3,199.78/4,844.39 = 4,844.39/x
  3. Step 3: Cross multiply
    3,199.78x = 4,844.39 × 4,844.39
  4. Step 4: Simplify right side
    3,199.78x = 23,468,120.53
  5. Step 5: Solve for x
    x = 23,468,120.53/3,199.78
  6. Step 6: Final answer
    x = 7,334.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.