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Finding the Third Proportional to 24,493 and 50,023

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Solution

The third proportional to 24,493 and 50,023 is: 102,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,493 : 50,023 = 50,023 : x
  2. Step 2: Convert to fraction form
    24,493/50,023 = 50,023/x
  3. Step 3: Cross multiply
    24,493x = 50,023 × 50,023
  4. Step 4: Simplify right side
    24,493x = 2,502,300,529
  5. Step 5: Solve for x
    x = 2,502,300,529/24,493
  6. Step 6: Final answer
    x = 102,163.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.