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Finding the Third Proportional to 13,197 and 20,661

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Solution

The third proportional to 13,197 and 20,661 is: 32,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 20,661 = 20,661 : x
  2. Step 2: Convert to fraction form
    13,197/20,661 = 20,661/x
  3. Step 3: Cross multiply
    13,197x = 20,661 × 20,661
  4. Step 4: Simplify right side
    13,197x = 426,876,921
  5. Step 5: Solve for x
    x = 426,876,921/13,197
  6. Step 6: Final answer
    x = 32,346.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.