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Finding the Third Proportional to 36,408 and 54,732

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Solution

The third proportional to 36,408 and 54,732 is: 82,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,408 : 54,732 = 54,732 : x
  2. Step 2: Convert to fraction form
    36,408/54,732 = 54,732/x
  3. Step 3: Cross multiply
    36,408x = 54,732 × 54,732
  4. Step 4: Simplify right side
    36,408x = 2,995,591,824
  5. Step 5: Solve for x
    x = 2,995,591,824/36,408
  6. Step 6: Final answer
    x = 82,278.40

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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.