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Finding the Third Proportional to 24,144.75 and 50,496.75

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Solution

The third proportional to 24,144.75 and 50,496.75 is: 105,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.75 : 50,496.75 = 50,496.75 : x
  2. Step 2: Convert to fraction form
    24,144.75/50,496.75 = 50,496.75/x
  3. Step 3: Cross multiply
    24,144.75x = 50,496.75 × 50,496.75
  4. Step 4: Simplify right side
    24,144.75x = 2,549,921,760.56
  5. Step 5: Solve for x
    x = 2,549,921,760.56/24,144.75
  6. Step 6: Final answer
    x = 105,609.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.