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Finding the Third Proportional to 33,401 and 72,958

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Solution

The third proportional to 33,401 and 72,958 is: 159,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401 : 72,958 = 72,958 : x
  2. Step 2: Convert to fraction form
    33,401/72,958 = 72,958/x
  3. Step 3: Cross multiply
    33,401x = 72,958 × 72,958
  4. Step 4: Simplify right side
    33,401x = 5,322,869,764
  5. Step 5: Solve for x
    x = 5,322,869,764/33,401
  6. Step 6: Final answer
    x = 159,362.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.