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Finding the Third Proportional to 14,727 and 20,822

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Solution

The third proportional to 14,727 and 20,822 is: 29,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727 : 20,822 = 20,822 : x
  2. Step 2: Convert to fraction form
    14,727/20,822 = 20,822/x
  3. Step 3: Cross multiply
    14,727x = 20,822 × 20,822
  4. Step 4: Simplify right side
    14,727x = 433,555,684
  5. Step 5: Solve for x
    x = 433,555,684/14,727
  6. Step 6: Final answer
    x = 29,439.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.