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Finding the Third Proportional to 36,408 and 54,612

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Solution

The third proportional to 36,408 and 54,612 is: 81,918

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,408 : 54,612 = 54,612 : x
  2. Step 2: Convert to fraction form
    36,408/54,612 = 54,612/x
  3. Step 3: Cross multiply
    36,408x = 54,612 × 54,612
  4. Step 4: Simplify right side
    36,408x = 2,982,470,544
  5. Step 5: Solve for x
    x = 2,982,470,544/36,408
  6. Step 6: Final answer
    x = 81,918

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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.