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Finding the Third Proportional to 33,270 and 49,901

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Solution

The third proportional to 33,270 and 49,901 is: 74,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,270 : 49,901 = 49,901 : x
  2. Step 2: Convert to fraction form
    33,270/49,901 = 49,901/x
  3. Step 3: Cross multiply
    33,270x = 49,901 × 49,901
  4. Step 4: Simplify right side
    33,270x = 2,490,109,801
  5. Step 5: Solve for x
    x = 2,490,109,801/33,270
  6. Step 6: Final answer
    x = 74,845.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.