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Finding the Third Proportional to 22,684 and 48,122

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Solution

The third proportional to 22,684 and 48,122 is: 102,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684 : 48,122 = 48,122 : x
  2. Step 2: Convert to fraction form
    22,684/48,122 = 48,122/x
  3. Step 3: Cross multiply
    22,684x = 48,122 × 48,122
  4. Step 4: Simplify right side
    22,684x = 2,315,726,884
  5. Step 5: Solve for x
    x = 2,315,726,884/22,684
  6. Step 6: Final answer
    x = 102,086.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.