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Finding the Third Proportional to 33,994 and 52,767

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Solution

The third proportional to 33,994 and 52,767 is: 81,907.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 52,767 = 52,767 : x
  2. Step 2: Convert to fraction form
    33,994/52,767 = 52,767/x
  3. Step 3: Cross multiply
    33,994x = 52,767 × 52,767
  4. Step 4: Simplify right side
    33,994x = 2,784,356,289
  5. Step 5: Solve for x
    x = 2,784,356,289/33,994
  6. Step 6: Final answer
    x = 81,907.29

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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.