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Finding the Third Proportional to 38,266 and 81,077

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Solution

The third proportional to 38,266 and 81,077 is: 171,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,266 : 81,077 = 81,077 : x
  2. Step 2: Convert to fraction form
    38,266/81,077 = 81,077/x
  3. Step 3: Cross multiply
    38,266x = 81,077 × 81,077
  4. Step 4: Simplify right side
    38,266x = 6,573,479,929
  5. Step 5: Solve for x
    x = 6,573,479,929/38,266
  6. Step 6: Final answer
    x = 171,783.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.