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Finding the Third Proportional to 23,249 and 33,793

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Solution

The third proportional to 23,249 and 33,793 is: 49,118.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249 : 33,793 = 33,793 : x
  2. Step 2: Convert to fraction form
    23,249/33,793 = 33,793/x
  3. Step 3: Cross multiply
    23,249x = 33,793 × 33,793
  4. Step 4: Simplify right side
    23,249x = 1,141,966,849
  5. Step 5: Solve for x
    x = 1,141,966,849/23,249
  6. Step 6: Final answer
    x = 49,118.97

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.