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Finding the Third Proportional to 2,441.25 and 5,318.44

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Solution

The third proportional to 2,441.25 and 5,318.44 is: 11,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.25 : 5,318.44 = 5,318.44 : x
  2. Step 2: Convert to fraction form
    2,441.25/5,318.44 = 5,318.44/x
  3. Step 3: Cross multiply
    2,441.25x = 5,318.44 × 5,318.44
  4. Step 4: Simplify right side
    2,441.25x = 28,285,777.44
  5. Step 5: Solve for x
    x = 28,285,777.44/2,441.25
  6. Step 6: Final answer
    x = 11,586.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.