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Finding the Third Proportional to 33,660 and 52,674

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Solution

The third proportional to 33,660 and 52,674 is: 82,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,660 : 52,674 = 52,674 : x
  2. Step 2: Convert to fraction form
    33,660/52,674 = 52,674/x
  3. Step 3: Cross multiply
    33,660x = 52,674 × 52,674
  4. Step 4: Simplify right side
    33,660x = 2,774,550,276
  5. Step 5: Solve for x
    x = 2,774,550,276/33,660
  6. Step 6: Final answer
    x = 82,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.