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Finding the Third Proportional to 2,441.25 and 5,409.75

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Solution

The third proportional to 2,441.25 and 5,409.75 is: 11,987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.25 : 5,409.75 = 5,409.75 : x
  2. Step 2: Convert to fraction form
    2,441.25/5,409.75 = 5,409.75/x
  3. Step 3: Cross multiply
    2,441.25x = 5,409.75 × 5,409.75
  4. Step 4: Simplify right side
    2,441.25x = 29,265,395.06
  5. Step 5: Solve for x
    x = 29,265,395.06/2,441.25
  6. Step 6: Final answer
    x = 11,987.87

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.