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Finding the Third Proportional to 3,148.22 and 4,260.38

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Solution

The third proportional to 3,148.22 and 4,260.38 is: 5,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148.22 : 4,260.38 = 4,260.38 : x
  2. Step 2: Convert to fraction form
    3,148.22/4,260.38 = 4,260.38/x
  3. Step 3: Cross multiply
    3,148.22x = 4,260.38 × 4,260.38
  4. Step 4: Simplify right side
    3,148.22x = 18,150,795.14
  5. Step 5: Solve for x
    x = 18,150,795.14/3,148.22
  6. Step 6: Final answer
    x = 5,765.42

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.