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Finding the Third Proportional to 22,223 and 48,793

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Solution

The third proportional to 22,223 and 48,793 is: 107,130.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,223 : 48,793 = 48,793 : x
  2. Step 2: Convert to fraction form
    22,223/48,793 = 48,793/x
  3. Step 3: Cross multiply
    22,223x = 48,793 × 48,793
  4. Step 4: Simplify right side
    22,223x = 2,380,756,849
  5. Step 5: Solve for x
    x = 2,380,756,849/22,223
  6. Step 6: Final answer
    x = 107,130.31

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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.