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Finding the Third Proportional to 36,035 and 54,167

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Solution

The third proportional to 36,035 and 54,167 is: 81,422.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,035 : 54,167 = 54,167 : x
  2. Step 2: Convert to fraction form
    36,035/54,167 = 54,167/x
  3. Step 3: Cross multiply
    36,035x = 54,167 × 54,167
  4. Step 4: Simplify right side
    36,035x = 2,934,063,889
  5. Step 5: Solve for x
    x = 2,934,063,889/36,035
  6. Step 6: Final answer
    x = 81,422.61

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