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Finding the Third Proportional to 33,778 and 51,995

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Solution

The third proportional to 33,778 and 51,995 is: 80,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,778 : 51,995 = 51,995 : x
  2. Step 2: Convert to fraction form
    33,778/51,995 = 51,995/x
  3. Step 3: Cross multiply
    33,778x = 51,995 × 51,995
  4. Step 4: Simplify right side
    33,778x = 2,703,480,025
  5. Step 5: Solve for x
    x = 2,703,480,025/33,778
  6. Step 6: Final answer
    x = 80,036.71

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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.