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Finding the Third Proportional to 38,003 and 80,927

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Solution

The third proportional to 38,003 and 80,927 is: 172,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,003 : 80,927 = 80,927 : x
  2. Step 2: Convert to fraction form
    38,003/80,927 = 80,927/x
  3. Step 3: Cross multiply
    38,003x = 80,927 × 80,927
  4. Step 4: Simplify right side
    38,003x = 6,549,179,329
  5. Step 5: Solve for x
    x = 6,549,179,329/38,003
  6. Step 6: Final answer
    x = 172,333.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.