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Finding the Third Proportional to 3,340.50 and 4,481.25

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Solution

The third proportional to 3,340.50 and 4,481.25 is: 6,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.50 : 4,481.25 = 4,481.25 : x
  2. Step 2: Convert to fraction form
    3,340.50/4,481.25 = 4,481.25/x
  3. Step 3: Cross multiply
    3,340.50x = 4,481.25 × 4,481.25
  4. Step 4: Simplify right side
    3,340.50x = 20,081,601.56
  5. Step 5: Solve for x
    x = 20,081,601.56/3,340.50
  6. Step 6: Final answer
    x = 6,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.