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Finding the Third Proportional to 15,760 and 33,638

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Solution

The third proportional to 15,760 and 33,638 is: 71,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,760 : 33,638 = 33,638 : x
  2. Step 2: Convert to fraction form
    15,760/33,638 = 33,638/x
  3. Step 3: Cross multiply
    15,760x = 33,638 × 33,638
  4. Step 4: Simplify right side
    15,760x = 1,131,515,044
  5. Step 5: Solve for x
    x = 1,131,515,044/15,760
  6. Step 6: Final answer
    x = 71,796.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.