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Finding the Third Proportional to 36,354 and 54,851

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Solution

The third proportional to 36,354 and 54,851 is: 82,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,354 : 54,851 = 54,851 : x
  2. Step 2: Convert to fraction form
    36,354/54,851 = 54,851/x
  3. Step 3: Cross multiply
    36,354x = 54,851 × 54,851
  4. Step 4: Simplify right side
    36,354x = 3,008,632,201
  5. Step 5: Solve for x
    x = 3,008,632,201/36,354
  6. Step 6: Final answer
    x = 82,759.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.