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Finding the Third Proportional to 31,822 and 73,979

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Solution

The third proportional to 31,822 and 73,979 is: 171,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822 : 73,979 = 73,979 : x
  2. Step 2: Convert to fraction form
    31,822/73,979 = 73,979/x
  3. Step 3: Cross multiply
    31,822x = 73,979 × 73,979
  4. Step 4: Simplify right side
    31,822x = 5,472,892,441
  5. Step 5: Solve for x
    x = 5,472,892,441/31,822
  6. Step 6: Final answer
    x = 171,984.55

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.