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Finding the Third Proportional to 22,258 and 48,212

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Solution

The third proportional to 22,258 and 48,212 is: 104,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258 : 48,212 = 48,212 : x
  2. Step 2: Convert to fraction form
    22,258/48,212 = 48,212/x
  3. Step 3: Cross multiply
    22,258x = 48,212 × 48,212
  4. Step 4: Simplify right side
    22,258x = 2,324,396,944
  5. Step 5: Solve for x
    x = 2,324,396,944/22,258
  6. Step 6: Final answer
    x = 104,429.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.