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Finding the Third Proportional to 24,392 and 50,296

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Solution

The third proportional to 24,392 and 50,296 is: 103,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 50,296 = 50,296 : x
  2. Step 2: Convert to fraction form
    24,392/50,296 = 50,296/x
  3. Step 3: Cross multiply
    24,392x = 50,296 × 50,296
  4. Step 4: Simplify right side
    24,392x = 2,529,687,616
  5. Step 5: Solve for x
    x = 2,529,687,616/24,392
  6. Step 6: Final answer
    x = 103,709.73

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.