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Finding the Third Proportional to 13,620 and 20,822

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Solution

The third proportional to 13,620 and 20,822 is: 31,832.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,620 : 20,822 = 20,822 : x
  2. Step 2: Convert to fraction form
    13,620/20,822 = 20,822/x
  3. Step 3: Cross multiply
    13,620x = 20,822 × 20,822
  4. Step 4: Simplify right side
    13,620x = 433,555,684
  5. Step 5: Solve for x
    x = 433,555,684/13,620
  6. Step 6: Final answer
    x = 31,832.28

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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.