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Finding the Third Proportional to 22,414 and 48,771

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Solution

The third proportional to 22,414 and 48,771 is: 106,121.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414 : 48,771 = 48,771 : x
  2. Step 2: Convert to fraction form
    22,414/48,771 = 48,771/x
  3. Step 3: Cross multiply
    22,414x = 48,771 × 48,771
  4. Step 4: Simplify right side
    22,414x = 2,378,610,441
  5. Step 5: Solve for x
    x = 2,378,610,441/22,414
  6. Step 6: Final answer
    x = 106,121.64

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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.