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Finding the Third Proportional to 33,966 and 72,579

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Solution

The third proportional to 33,966 and 72,579 is: 155,087.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,966 : 72,579 = 72,579 : x
  2. Step 2: Convert to fraction form
    33,966/72,579 = 72,579/x
  3. Step 3: Cross multiply
    33,966x = 72,579 × 72,579
  4. Step 4: Simplify right side
    33,966x = 5,267,711,241
  5. Step 5: Solve for x
    x = 5,267,711,241/33,966
  6. Step 6: Final answer
    x = 155,087.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.