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Finding the Third Proportional to 20,258 and 44,212

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Solution

The third proportional to 20,258 and 44,212 is: 96,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,258 : 44,212 = 44,212 : x
  2. Step 2: Convert to fraction form
    20,258/44,212 = 44,212/x
  3. Step 3: Cross multiply
    20,258x = 44,212 × 44,212
  4. Step 4: Simplify right side
    20,258x = 1,954,700,944
  5. Step 5: Solve for x
    x = 1,954,700,944/20,258
  6. Step 6: Final answer
    x = 96,490.32

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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.