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Finding the Third Proportional to 14,797 and 20,812

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Solution

The third proportional to 14,797 and 20,812 is: 29,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797 : 20,812 = 20,812 : x
  2. Step 2: Convert to fraction form
    14,797/20,812 = 20,812/x
  3. Step 3: Cross multiply
    14,797x = 20,812 × 20,812
  4. Step 4: Simplify right side
    14,797x = 433,139,344
  5. Step 5: Solve for x
    x = 433,139,344/14,797
  6. Step 6: Final answer
    x = 29,272.11

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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.