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Finding the Third Proportional to 24,188 and 50,824

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Solution

The third proportional to 24,188 and 50,824 is: 106,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188 : 50,824 = 50,824 : x
  2. Step 2: Convert to fraction form
    24,188/50,824 = 50,824/x
  3. Step 3: Cross multiply
    24,188x = 50,824 × 50,824
  4. Step 4: Simplify right side
    24,188x = 2,583,078,976
  5. Step 5: Solve for x
    x = 2,583,078,976/24,188
  6. Step 6: Final answer
    x = 106,791.76

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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.