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Finding the Third Proportional to 23,927 and 34,249

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Solution

The third proportional to 23,927 and 34,249 is: 49,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927 : 34,249 = 34,249 : x
  2. Step 2: Convert to fraction form
    23,927/34,249 = 34,249/x
  3. Step 3: Cross multiply
    23,927x = 34,249 × 34,249
  4. Step 4: Simplify right side
    23,927x = 1,172,994,001
  5. Step 5: Solve for x
    x = 1,172,994,001/23,927
  6. Step 6: Final answer
    x = 49,023.86

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.