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Finding the Third Proportional to 13,086 and 20,022

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Solution

The third proportional to 13,086 and 20,022 is: 30,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086 : 20,022 = 20,022 : x
  2. Step 2: Convert to fraction form
    13,086/20,022 = 20,022/x
  3. Step 3: Cross multiply
    13,086x = 20,022 × 20,022
  4. Step 4: Simplify right side
    13,086x = 400,880,484
  5. Step 5: Solve for x
    x = 400,880,484/13,086
  6. Step 6: Final answer
    x = 30,634.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.