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Finding the Third Proportional to 24,211 and 50,255

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Solution

The third proportional to 24,211 and 50,255 is: 104,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,211 : 50,255 = 50,255 : x
  2. Step 2: Convert to fraction form
    24,211/50,255 = 50,255/x
  3. Step 3: Cross multiply
    24,211x = 50,255 × 50,255
  4. Step 4: Simplify right side
    24,211x = 2,525,565,025
  5. Step 5: Solve for x
    x = 2,525,565,025/24,211
  6. Step 6: Final answer
    x = 104,314.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.