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Finding the Third Proportional to 11,576.25 and 12,791.25

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Solution

The third proportional to 11,576.25 and 12,791.25 is: 14,133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576.25 : 12,791.25 = 12,791.25 : x
  2. Step 2: Convert to fraction form
    11,576.25/12,791.25 = 12,791.25/x
  3. Step 3: Cross multiply
    11,576.25x = 12,791.25 × 12,791.25
  4. Step 4: Simplify right side
    11,576.25x = 163,616,076.56
  5. Step 5: Solve for x
    x = 163,616,076.56/11,576.25
  6. Step 6: Final answer
    x = 14,133.77

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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.