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Finding the Third Proportional to 23,682 and 33,663

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Solution

The third proportional to 23,682 and 33,663 is: 47,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682 : 33,663 = 33,663 : x
  2. Step 2: Convert to fraction form
    23,682/33,663 = 33,663/x
  3. Step 3: Cross multiply
    23,682x = 33,663 × 33,663
  4. Step 4: Simplify right side
    23,682x = 1,133,197,569
  5. Step 5: Solve for x
    x = 1,133,197,569/23,682
  6. Step 6: Final answer
    x = 47,850.59

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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.