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Finding the Third Proportional to 13,022 and 20,195

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Solution

The third proportional to 13,022 and 20,195 is: 31,319.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022 : 20,195 = 20,195 : x
  2. Step 2: Convert to fraction form
    13,022/20,195 = 20,195/x
  3. Step 3: Cross multiply
    13,022x = 20,195 × 20,195
  4. Step 4: Simplify right side
    13,022x = 407,838,025
  5. Step 5: Solve for x
    x = 407,838,025/13,022
  6. Step 6: Final answer
    x = 31,319.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.