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Finding the Third Proportional to 23,462 and 50,008

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Solution

The third proportional to 23,462 and 50,008 is: 106,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462 : 50,008 = 50,008 : x
  2. Step 2: Convert to fraction form
    23,462/50,008 = 50,008/x
  3. Step 3: Cross multiply
    23,462x = 50,008 × 50,008
  4. Step 4: Simplify right side
    23,462x = 2,500,800,064
  5. Step 5: Solve for x
    x = 2,500,800,064/23,462
  6. Step 6: Final answer
    x = 106,589.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.