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Finding the Third Proportional to 22,544 and 48,103

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Solution

The third proportional to 22,544 and 48,103 is: 102,639.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,544 : 48,103 = 48,103 : x
  2. Step 2: Convert to fraction form
    22,544/48,103 = 48,103/x
  3. Step 3: Cross multiply
    22,544x = 48,103 × 48,103
  4. Step 4: Simplify right side
    22,544x = 2,313,898,609
  5. Step 5: Solve for x
    x = 2,313,898,609/22,544
  6. Step 6: Final answer
    x = 102,639.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.