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Finding the Third Proportional to 3,199.92 and 4,844.60

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Solution

The third proportional to 3,199.92 and 4,844.60 is: 7,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.92 : 4,844.60 = 4,844.60 : x
  2. Step 2: Convert to fraction form
    3,199.92/4,844.60 = 4,844.60/x
  3. Step 3: Cross multiply
    3,199.92x = 4,844.60 × 4,844.60
  4. Step 4: Simplify right side
    3,199.92x = 23,470,164.30
  5. Step 5: Solve for x
    x = 23,470,164.30/3,199.92
  6. Step 6: Final answer
    x = 7,334.61

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Why These Related Problems?

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