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Finding the Third Proportional to 33,216 and 49,961

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Solution

The third proportional to 33,216 and 49,961 is: 75,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,216 : 49,961 = 49,961 : x
  2. Step 2: Convert to fraction form
    33,216/49,961 = 49,961/x
  3. Step 3: Cross multiply
    33,216x = 49,961 × 49,961
  4. Step 4: Simplify right side
    33,216x = 2,496,101,521
  5. Step 5: Solve for x
    x = 2,496,101,521/33,216
  6. Step 6: Final answer
    x = 75,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.