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Finding the Third Proportional to 36,333.56 and 54,538.31

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Solution

The third proportional to 36,333.56 and 54,538.31 is: 81,864.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,333.56 : 54,538.31 = 54,538.31 : x
  2. Step 2: Convert to fraction form
    36,333.56/54,538.31 = 54,538.31/x
  3. Step 3: Cross multiply
    36,333.56x = 54,538.31 × 54,538.31
  4. Step 4: Simplify right side
    36,333.56x = 2,974,427,530.35
  5. Step 5: Solve for x
    x = 2,974,427,530.35/36,333.56
  6. Step 6: Final answer
    x = 81,864.46

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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.