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Finding the Third Proportional to 22,414.22 and 48,771.28

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Solution

The third proportional to 22,414.22 and 48,771.28 is: 106,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.22 : 48,771.28 = 48,771.28 : x
  2. Step 2: Convert to fraction form
    22,414.22/48,771.28 = 48,771.28/x
  3. Step 3: Cross multiply
    22,414.22x = 48,771.28 × 48,771.28
  4. Step 4: Simplify right side
    22,414.22x = 2,378,637,874.77
  5. Step 5: Solve for x
    x = 2,378,637,874.77/22,414.22
  6. Step 6: Final answer
    x = 106,121.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.