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Finding the Third Proportional to 36,322.50 and 55,027

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Solution

The third proportional to 36,322.50 and 55,027 is: 83,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,322.50 : 55,027 = 55,027 : x
  2. Step 2: Convert to fraction form
    36,322.50/55,027 = 55,027/x
  3. Step 3: Cross multiply
    36,322.50x = 55,027 × 55,027
  4. Step 4: Simplify right side
    36,322.50x = 3,027,970,729
  5. Step 5: Solve for x
    x = 3,027,970,729/36,322.50
  6. Step 6: Final answer
    x = 83,363.50

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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.