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Finding the Third Proportional to 33,767 and 52,418

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Solution

The third proportional to 33,767 and 52,418 is: 81,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,767 : 52,418 = 52,418 : x
  2. Step 2: Convert to fraction form
    33,767/52,418 = 52,418/x
  3. Step 3: Cross multiply
    33,767x = 52,418 × 52,418
  4. Step 4: Simplify right side
    33,767x = 2,747,646,724
  5. Step 5: Solve for x
    x = 2,747,646,724/33,767
  6. Step 6: Final answer
    x = 81,370.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.