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Finding the Third Proportional to 36,605.25 and 54,904.50

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Solution

The third proportional to 36,605.25 and 54,904.50 is: 82,351.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,605.25 : 54,904.50 = 54,904.50 : x
  2. Step 2: Convert to fraction form
    36,605.25/54,904.50 = 54,904.50/x
  3. Step 3: Cross multiply
    36,605.25x = 54,904.50 × 54,904.50
  4. Step 4: Simplify right side
    36,605.25x = 3,014,504,120.25
  5. Step 5: Solve for x
    x = 3,014,504,120.25/36,605.25
  6. Step 6: Final answer
    x = 82,351.69

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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.