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Finding the Third Proportional to 11,791.69 and 16,022.53

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Solution

The third proportional to 11,791.69 and 16,022.53 is: 21,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791.69 : 16,022.53 = 16,022.53 : x
  2. Step 2: Convert to fraction form
    11,791.69/16,022.53 = 16,022.53/x
  3. Step 3: Cross multiply
    11,791.69x = 16,022.53 × 16,022.53
  4. Step 4: Simplify right side
    11,791.69x = 256,721,507.66
  5. Step 5: Solve for x
    x = 256,721,507.66/11,791.69
  6. Step 6: Final answer
    x = 21,771.40

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.