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Finding the Third Proportional to 33,937 and 70,965

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Solution

The third proportional to 33,937 and 70,965 is: 148,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937 : 70,965 = 70,965 : x
  2. Step 2: Convert to fraction form
    33,937/70,965 = 70,965/x
  3. Step 3: Cross multiply
    33,937x = 70,965 × 70,965
  4. Step 4: Simplify right side
    33,937x = 5,036,031,225
  5. Step 5: Solve for x
    x = 5,036,031,225/33,937
  6. Step 6: Final answer
    x = 148,393.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.