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Finding the Third Proportional to 24,264 and 50,836

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Solution

The third proportional to 24,264 and 50,836 is: 106,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,264 : 50,836 = 50,836 : x
  2. Step 2: Convert to fraction form
    24,264/50,836 = 50,836/x
  3. Step 3: Cross multiply
    24,264x = 50,836 × 50,836
  4. Step 4: Simplify right side
    24,264x = 2,584,298,896
  5. Step 5: Solve for x
    x = 2,584,298,896/24,264
  6. Step 6: Final answer
    x = 106,507.54

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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.