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Finding the Third Proportional to 23,398 and 33,866

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Solution

The third proportional to 23,398 and 33,866 is: 49,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398 : 33,866 = 33,866 : x
  2. Step 2: Convert to fraction form
    23,398/33,866 = 33,866/x
  3. Step 3: Cross multiply
    23,398x = 33,866 × 33,866
  4. Step 4: Simplify right side
    23,398x = 1,146,905,956
  5. Step 5: Solve for x
    x = 1,146,905,956/23,398
  6. Step 6: Final answer
    x = 49,017.26

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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.