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Finding the Third Proportional to 4,942.69 and 10,857.38

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Solution

The third proportional to 4,942.69 and 10,857.38 is: 23,849.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.69 : 10,857.38 = 10,857.38 : x
  2. Step 2: Convert to fraction form
    4,942.69/10,857.38 = 10,857.38/x
  3. Step 3: Cross multiply
    4,942.69x = 10,857.38 × 10,857.38
  4. Step 4: Simplify right side
    4,942.69x = 117,882,591.89
  5. Step 5: Solve for x
    x = 117,882,591.89/4,942.69
  6. Step 6: Final answer
    x = 23,849.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.