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Finding the Third Proportional to 10,609.73 and 23,163.47

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Solution

The third proportional to 10,609.73 and 23,163.47 is: 50,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.73 : 23,163.47 = 23,163.47 : x
  2. Step 2: Convert to fraction form
    10,609.73/23,163.47 = 23,163.47/x
  3. Step 3: Cross multiply
    10,609.73x = 23,163.47 × 23,163.47
  4. Step 4: Simplify right side
    10,609.73x = 536,546,284.53
  5. Step 5: Solve for x
    x = 536,546,284.53/10,609.73
  6. Step 6: Final answer
    x = 50,571.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.