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Finding the Third Proportional to 23,249 and 50,893

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Solution

The third proportional to 23,249 and 50,893 is: 111,406.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249 : 50,893 = 50,893 : x
  2. Step 2: Convert to fraction form
    23,249/50,893 = 50,893/x
  3. Step 3: Cross multiply
    23,249x = 50,893 × 50,893
  4. Step 4: Simplify right side
    23,249x = 2,590,097,449
  5. Step 5: Solve for x
    x = 2,590,097,449/23,249
  6. Step 6: Final answer
    x = 111,406.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.