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Finding the Third Proportional to 9,884 and 21,793

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Solution

The third proportional to 9,884 and 21,793 is: 48,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884 : 21,793 = 21,793 : x
  2. Step 2: Convert to fraction form
    9,884/21,793 = 21,793/x
  3. Step 3: Cross multiply
    9,884x = 21,793 × 21,793
  4. Step 4: Simplify right side
    9,884x = 474,934,849
  5. Step 5: Solve for x
    x = 474,934,849/9,884
  6. Step 6: Final answer
    x = 48,050.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.