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Finding the Third Proportional to 11,724.75 and 25,224.75

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Solution

The third proportional to 11,724.75 and 25,224.75 is: 54,268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.75 : 25,224.75 = 25,224.75 : x
  2. Step 2: Convert to fraction form
    11,724.75/25,224.75 = 25,224.75/x
  3. Step 3: Cross multiply
    11,724.75x = 25,224.75 × 25,224.75
  4. Step 4: Simplify right side
    11,724.75x = 636,288,012.56
  5. Step 5: Solve for x
    x = 636,288,012.56/11,724.75
  6. Step 6: Final answer
    x = 54,268.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.