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Finding the Third Proportional to 12,012.75 and 27,650.81

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Solution

The third proportional to 12,012.75 and 27,650.81 is: 63,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,012.75 : 27,650.81 = 27,650.81 : x
  2. Step 2: Convert to fraction form
    12,012.75/27,650.81 = 27,650.81/x
  3. Step 3: Cross multiply
    12,012.75x = 27,650.81 × 27,650.81
  4. Step 4: Simplify right side
    12,012.75x = 764,567,431.91
  5. Step 5: Solve for x
    x = 764,567,431.91/12,012.75
  6. Step 6: Final answer
    x = 63,646.33

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.