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Finding the Third Proportional to 33,984 and 74,448

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Solution

The third proportional to 33,984 and 74,448 is: 163,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,984 : 74,448 = 74,448 : x
  2. Step 2: Convert to fraction form
    33,984/74,448 = 74,448/x
  3. Step 3: Cross multiply
    33,984x = 74,448 × 74,448
  4. Step 4: Simplify right side
    33,984x = 5,542,504,704
  5. Step 5: Solve for x
    x = 5,542,504,704/33,984
  6. Step 6: Final answer
    x = 163,091.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.