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Finding the Third Proportional to 23,990 and 33,638

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Solution

The third proportional to 23,990 and 33,638 is: 47,166.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,990 : 33,638 = 33,638 : x
  2. Step 2: Convert to fraction form
    23,990/33,638 = 33,638/x
  3. Step 3: Cross multiply
    23,990x = 33,638 × 33,638
  4. Step 4: Simplify right side
    23,990x = 1,131,515,044
  5. Step 5: Solve for x
    x = 1,131,515,044/23,990
  6. Step 6: Final answer
    x = 47,166.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.