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Finding the Third Proportional to 37,722 and 81,933

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Solution

The third proportional to 37,722 and 81,933 is: 177,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,722 : 81,933 = 81,933 : x
  2. Step 2: Convert to fraction form
    37,722/81,933 = 81,933/x
  3. Step 3: Cross multiply
    37,722x = 81,933 × 81,933
  4. Step 4: Simplify right side
    37,722x = 6,713,016,489
  5. Step 5: Solve for x
    x = 6,713,016,489/37,722
  6. Step 6: Final answer
    x = 177,960.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.