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Finding the Third Proportional to 7,141.92 and 10,855.27

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Solution

The third proportional to 7,141.92 and 10,855.27 is: 16,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.92 : 10,855.27 = 10,855.27 : x
  2. Step 2: Convert to fraction form
    7,141.92/10,855.27 = 10,855.27/x
  3. Step 3: Cross multiply
    7,141.92x = 10,855.27 × 10,855.27
  4. Step 4: Simplify right side
    7,141.92x = 117,836,791.79
  5. Step 5: Solve for x
    x = 117,836,791.79/7,141.92
  6. Step 6: Final answer
    x = 16,499.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.