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Finding the Third Proportional to 36,027 and 54,536.50

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Solution

The third proportional to 36,027 and 54,536.50 is: 82,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,027 : 54,536.50 = 54,536.50 : x
  2. Step 2: Convert to fraction form
    36,027/54,536.50 = 54,536.50/x
  3. Step 3: Cross multiply
    36,027x = 54,536.50 × 54,536.50
  4. Step 4: Simplify right side
    36,027x = 2,974,229,832.25
  5. Step 5: Solve for x
    x = 2,974,229,832.25/36,027
  6. Step 6: Final answer
    x = 82,555.58

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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.