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Finding the Third Proportional to 3,238.73 and 4,858.10

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Solution

The third proportional to 3,238.73 and 4,858.10 is: 7,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.73 : 4,858.10 = 4,858.10 : x
  2. Step 2: Convert to fraction form
    3,238.73/4,858.10 = 4,858.10/x
  3. Step 3: Cross multiply
    3,238.73x = 4,858.10 × 4,858.10
  4. Step 4: Simplify right side
    3,238.73x = 23,601,150.79
  5. Step 5: Solve for x
    x = 23,601,150.79/3,238.73
  6. Step 6: Final answer
    x = 7,287.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.