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Finding the Third Proportional to 38,504 and 80,032

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Solution

The third proportional to 38,504 and 80,032 is: 166,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504 : 80,032 = 80,032 : x
  2. Step 2: Convert to fraction form
    38,504/80,032 = 80,032/x
  3. Step 3: Cross multiply
    38,504x = 80,032 × 80,032
  4. Step 4: Simplify right side
    38,504x = 6,405,121,024
  5. Step 5: Solve for x
    x = 6,405,121,024/38,504
  6. Step 6: Final answer
    x = 166,349.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.