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Finding the Third Proportional to 36,642.75 and 55,051.31

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Solution

The third proportional to 36,642.75 and 55,051.31 is: 82,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,642.75 : 55,051.31 = 55,051.31 : x
  2. Step 2: Convert to fraction form
    36,642.75/55,051.31 = 55,051.31/x
  3. Step 3: Cross multiply
    36,642.75x = 55,051.31 × 55,051.31
  4. Step 4: Simplify right side
    36,642.75x = 3,030,647,007.97
  5. Step 5: Solve for x
    x = 3,030,647,007.97/36,642.75
  6. Step 6: Final answer
    x = 82,707.96

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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.