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Finding the Third Proportional to 24,639.75 and 54,200.25

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Solution

The third proportional to 24,639.75 and 54,200.25 is: 119,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,639.75 : 54,200.25 = 54,200.25 : x
  2. Step 2: Convert to fraction form
    24,639.75/54,200.25 = 54,200.25/x
  3. Step 3: Cross multiply
    24,639.75x = 54,200.25 × 54,200.25
  4. Step 4: Simplify right side
    24,639.75x = 2,937,667,100.06
  5. Step 5: Solve for x
    x = 2,937,667,100.06/24,639.75
  6. Step 6: Final answer
    x = 119,224.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.