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Finding the Third Proportional to 38,032 and 57,166

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Solution

The third proportional to 38,032 and 57,166 is: 85,926.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,032 : 57,166 = 57,166 : x
  2. Step 2: Convert to fraction form
    38,032/57,166 = 57,166/x
  3. Step 3: Cross multiply
    38,032x = 57,166 × 57,166
  4. Step 4: Simplify right side
    38,032x = 3,267,951,556
  5. Step 5: Solve for x
    x = 3,267,951,556/38,032
  6. Step 6: Final answer
    x = 85,926.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.