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Finding the Third Proportional to 33,966 and 72,252

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Solution

The third proportional to 33,966 and 72,252 is: 153,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 72,252 = 72,252 : x
  2. Step 2: Convert to fraction form
    33,966/72,252 = 72,252/x
  3. Step 3: Cross multiply
    33,966x = 72,252 × 72,252
  4. Step 4: Simplify right side
    33,966x = 5,220,351,504
  5. Step 5: Solve for x
    x = 5,220,351,504/33,966
  6. Step 6: Final answer
    x = 153,693.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.