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Finding the Third Proportional to 33,837 and 74,424

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Solution

The third proportional to 33,837 and 74,424 is: 163,694.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,837 : 74,424 = 74,424 : x
  2. Step 2: Convert to fraction form
    33,837/74,424 = 74,424/x
  3. Step 3: Cross multiply
    33,837x = 74,424 × 74,424
  4. Step 4: Simplify right side
    33,837x = 5,538,931,776
  5. Step 5: Solve for x
    x = 5,538,931,776/33,837
  6. Step 6: Final answer
    x = 163,694.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.