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Finding the Third Proportional to 32,622.75 and 36,004.50

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Solution

The third proportional to 32,622.75 and 36,004.50 is: 39,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,622.75 : 36,004.50 = 36,004.50 : x
  2. Step 2: Convert to fraction form
    32,622.75/36,004.50 = 36,004.50/x
  3. Step 3: Cross multiply
    32,622.75x = 36,004.50 × 36,004.50
  4. Step 4: Simplify right side
    32,622.75x = 1,296,324,020.25
  5. Step 5: Solve for x
    x = 1,296,324,020.25/32,622.75
  6. Step 6: Final answer
    x = 39,736.81

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.