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Finding the Third Proportional to 9,476 and 20,198

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Solution

The third proportional to 9,476 and 20,198 is: 43,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 20,198 = 20,198 : x
  2. Step 2: Convert to fraction form
    9,476/20,198 = 20,198/x
  3. Step 3: Cross multiply
    9,476x = 20,198 × 20,198
  4. Step 4: Simplify right side
    9,476x = 407,959,204
  5. Step 5: Solve for x
    x = 407,959,204/9,476
  6. Step 6: Final answer
    x = 43,051.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.