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Finding the Third Proportional to 36,956 and 81,058

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Solution

The third proportional to 36,956 and 81,058 is: 177,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,956 : 81,058 = 81,058 : x
  2. Step 2: Convert to fraction form
    36,956/81,058 = 81,058/x
  3. Step 3: Cross multiply
    36,956x = 81,058 × 81,058
  4. Step 4: Simplify right side
    36,956x = 6,570,399,364
  5. Step 5: Solve for x
    x = 6,570,399,364/36,956
  6. Step 6: Final answer
    x = 177,789.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.