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Finding the Third Proportional to 23,736 and 33,760

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Solution

The third proportional to 23,736 and 33,760 is: 48,017.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,736 : 33,760 = 33,760 : x
  2. Step 2: Convert to fraction form
    23,736/33,760 = 33,760/x
  3. Step 3: Cross multiply
    23,736x = 33,760 × 33,760
  4. Step 4: Simplify right side
    23,736x = 1,139,737,600
  5. Step 5: Solve for x
    x = 1,139,737,600/23,736
  6. Step 6: Final answer
    x = 48,017.26

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.