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Finding the Third Proportional to 38,027 and 84,802

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Solution

The third proportional to 38,027 and 84,802 is: 189,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,027 : 84,802 = 84,802 : x
  2. Step 2: Convert to fraction form
    38,027/84,802 = 84,802/x
  3. Step 3: Cross multiply
    38,027x = 84,802 × 84,802
  4. Step 4: Simplify right side
    38,027x = 7,191,379,204
  5. Step 5: Solve for x
    x = 7,191,379,204/38,027
  6. Step 6: Final answer
    x = 189,112.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.