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Finding the Third Proportional to 24,176 and 50,800

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Solution

The third proportional to 24,176 and 50,800 is: 106,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176 : 50,800 = 50,800 : x
  2. Step 2: Convert to fraction form
    24,176/50,800 = 50,800/x
  3. Step 3: Cross multiply
    24,176x = 50,800 × 50,800
  4. Step 4: Simplify right side
    24,176x = 2,580,640,000
  5. Step 5: Solve for x
    x = 2,580,640,000/24,176
  6. Step 6: Final answer
    x = 106,743.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.