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Finding the Third Proportional to 33,723 and 36,963

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Solution

The third proportional to 33,723 and 36,963 is: 40,514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723 : 36,963 = 36,963 : x
  2. Step 2: Convert to fraction form
    33,723/36,963 = 36,963/x
  3. Step 3: Cross multiply
    33,723x = 36,963 × 36,963
  4. Step 4: Simplify right side
    33,723x = 1,366,263,369
  5. Step 5: Solve for x
    x = 1,366,263,369/33,723
  6. Step 6: Final answer
    x = 40,514.29

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.