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Finding the Third Proportional to 10,960.73 and 23,673.09

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Solution

The third proportional to 10,960.73 and 23,673.09 is: 51,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.73 : 23,673.09 = 23,673.09 : x
  2. Step 2: Convert to fraction form
    10,960.73/23,673.09 = 23,673.09/x
  3. Step 3: Cross multiply
    10,960.73x = 23,673.09 × 23,673.09
  4. Step 4: Simplify right side
    10,960.73x = 560,415,367.70
  5. Step 5: Solve for x
    x = 560,415,367.70/10,960.73
  6. Step 6: Final answer
    x = 51,129.36

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.