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Finding the Third Proportional to 22,024 and 48,404

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Solution

The third proportional to 22,024 and 48,404 is: 106,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024 : 48,404 = 48,404 : x
  2. Step 2: Convert to fraction form
    22,024/48,404 = 48,404/x
  3. Step 3: Cross multiply
    22,024x = 48,404 × 48,404
  4. Step 4: Simplify right side
    22,024x = 2,342,947,216
  5. Step 5: Solve for x
    x = 2,342,947,216/22,024
  6. Step 6: Final answer
    x = 106,381.55

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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.