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Finding the Third Proportional to 9,549 and 20,474

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Solution

The third proportional to 9,549 and 20,474 is: 43,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 20,474 = 20,474 : x
  2. Step 2: Convert to fraction form
    9,549/20,474 = 20,474/x
  3. Step 3: Cross multiply
    9,549x = 20,474 × 20,474
  4. Step 4: Simplify right side
    9,549x = 419,184,676
  5. Step 5: Solve for x
    x = 419,184,676/9,549
  6. Step 6: Final answer
    x = 43,898.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.