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Finding the Third Proportional to 24,424 and 50,142

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Solution

The third proportional to 24,424 and 50,142 is: 102,940.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,424 : 50,142 = 50,142 : x
  2. Step 2: Convert to fraction form
    24,424/50,142 = 50,142/x
  3. Step 3: Cross multiply
    24,424x = 50,142 × 50,142
  4. Step 4: Simplify right side
    24,424x = 2,514,220,164
  5. Step 5: Solve for x
    x = 2,514,220,164/24,424
  6. Step 6: Final answer
    x = 102,940.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.