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Finding the Third Proportional to 33,992 and 51,564

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Solution

The third proportional to 33,992 and 51,564 is: 78,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,992 : 51,564 = 51,564 : x
  2. Step 2: Convert to fraction form
    33,992/51,564 = 51,564/x
  3. Step 3: Cross multiply
    33,992x = 51,564 × 51,564
  4. Step 4: Simplify right side
    33,992x = 2,658,846,096
  5. Step 5: Solve for x
    x = 2,658,846,096/33,992
  6. Step 6: Final answer
    x = 78,219.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.