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Finding the Third Proportional to 33,706 and 51,965

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Solution

The third proportional to 33,706 and 51,965 is: 80,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,706 : 51,965 = 51,965 : x
  2. Step 2: Convert to fraction form
    33,706/51,965 = 51,965/x
  3. Step 3: Cross multiply
    33,706x = 51,965 × 51,965
  4. Step 4: Simplify right side
    33,706x = 2,700,361,225
  5. Step 5: Solve for x
    x = 2,700,361,225/33,706
  6. Step 6: Final answer
    x = 80,115.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.