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Finding the Third Proportional to 5,150.25 and 11,500.31

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Solution

The third proportional to 5,150.25 and 11,500.31 is: 25,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,150.25 : 11,500.31 = 11,500.31 : x
  2. Step 2: Convert to fraction form
    5,150.25/11,500.31 = 11,500.31/x
  3. Step 3: Cross multiply
    5,150.25x = 11,500.31 × 11,500.31
  4. Step 4: Simplify right side
    5,150.25x = 132,257,187.60
  5. Step 5: Solve for x
    x = 132,257,187.60/5,150.25
  6. Step 6: Final answer
    x = 25,679.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.