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Finding the Third Proportional to 33,670 and 51,204

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Solution

The third proportional to 33,670 and 51,204 is: 77,869.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,670 : 51,204 = 51,204 : x
  2. Step 2: Convert to fraction form
    33,670/51,204 = 51,204/x
  3. Step 3: Cross multiply
    33,670x = 51,204 × 51,204
  4. Step 4: Simplify right side
    33,670x = 2,621,849,616
  5. Step 5: Solve for x
    x = 2,621,849,616/33,670
  6. Step 6: Final answer
    x = 77,869.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.