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Finding the Third Proportional to 20,476 and 30,812

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Solution

The third proportional to 20,476 and 30,812 is: 46,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476 : 30,812 = 30,812 : x
  2. Step 2: Convert to fraction form
    20,476/30,812 = 30,812/x
  3. Step 3: Cross multiply
    20,476x = 30,812 × 30,812
  4. Step 4: Simplify right side
    20,476x = 949,379,344
  5. Step 5: Solve for x
    x = 949,379,344/20,476
  6. Step 6: Final answer
    x = 46,365.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.