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Finding the Third Proportional to 33,900 and 36,972

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Solution

The third proportional to 33,900 and 36,972 is: 40,322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900 : 36,972 = 36,972 : x
  2. Step 2: Convert to fraction form
    33,900/36,972 = 36,972/x
  3. Step 3: Cross multiply
    33,900x = 36,972 × 36,972
  4. Step 4: Simplify right side
    33,900x = 1,366,928,784
  5. Step 5: Solve for x
    x = 1,366,928,784/33,900
  6. Step 6: Final answer
    x = 40,322.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.