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Finding the Third Proportional to 24,380 and 50,676

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Solution

The third proportional to 24,380 and 50,676 is: 105,334.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,380 : 50,676 = 50,676 : x
  2. Step 2: Convert to fraction form
    24,380/50,676 = 50,676/x
  3. Step 3: Cross multiply
    24,380x = 50,676 × 50,676
  4. Step 4: Simplify right side
    24,380x = 2,568,056,976
  5. Step 5: Solve for x
    x = 2,568,056,976/24,380
  6. Step 6: Final answer
    x = 105,334.58

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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.