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Finding the Third Proportional to 36,371 and 54,692

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Solution

The third proportional to 36,371 and 54,692 is: 82,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,371 : 54,692 = 54,692 : x
  2. Step 2: Convert to fraction form
    36,371/54,692 = 54,692/x
  3. Step 3: Cross multiply
    36,371x = 54,692 × 54,692
  4. Step 4: Simplify right side
    36,371x = 2,991,214,864
  5. Step 5: Solve for x
    x = 2,991,214,864/36,371
  6. Step 6: Final answer
    x = 82,241.75

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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.