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Finding the Third Proportional to 5,022 and 10,814.13

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Solution

The third proportional to 5,022 and 10,814.13 is: 23,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,022 : 10,814.13 = 10,814.13 : x
  2. Step 2: Convert to fraction form
    5,022/10,814.13 = 10,814.13/x
  3. Step 3: Cross multiply
    5,022x = 10,814.13 × 10,814.13
  4. Step 4: Simplify right side
    5,022x = 116,945,468.49
  5. Step 5: Solve for x
    x = 116,945,468.49/5,022
  6. Step 6: Final answer
    x = 23,286.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.