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Finding the Third Proportional to 23,252 and 33,744

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Solution

The third proportional to 23,252 and 33,744 is: 48,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,252 : 33,744 = 33,744 : x
  2. Step 2: Convert to fraction form
    23,252/33,744 = 33,744/x
  3. Step 3: Cross multiply
    23,252x = 33,744 × 33,744
  4. Step 4: Simplify right side
    23,252x = 1,138,657,536
  5. Step 5: Solve for x
    x = 1,138,657,536/23,252
  6. Step 6: Final answer
    x = 48,970.31

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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.