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Finding the Third Proportional to 23,449 and 50,563

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Solution

The third proportional to 23,449 and 50,563 is: 109,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449 : 50,563 = 50,563 : x
  2. Step 2: Convert to fraction form
    23,449/50,563 = 50,563/x
  3. Step 3: Cross multiply
    23,449x = 50,563 × 50,563
  4. Step 4: Simplify right side
    23,449x = 2,556,616,969
  5. Step 5: Solve for x
    x = 2,556,616,969/23,449
  6. Step 6: Final answer
    x = 109,028.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.