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Finding the Third Proportional to 33,660 and 52,314

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Solution

The third proportional to 33,660 and 52,314 is: 81,305.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 52,314 = 52,314 : x
  2. Step 2: Convert to fraction form
    33,660/52,314 = 52,314/x
  3. Step 3: Cross multiply
    33,660x = 52,314 × 52,314
  4. Step 4: Simplify right side
    33,660x = 2,736,754,596
  5. Step 5: Solve for x
    x = 2,736,754,596/33,660
  6. Step 6: Final answer
    x = 81,305.84

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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.