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Finding the Third Proportional to 20,617 and 44,149

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Solution

The third proportional to 20,617 and 44,149 is: 94,540.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 44,149 = 44,149 : x
  2. Step 2: Convert to fraction form
    20,617/44,149 = 44,149/x
  3. Step 3: Cross multiply
    20,617x = 44,149 × 44,149
  4. Step 4: Simplify right side
    20,617x = 1,949,134,201
  5. Step 5: Solve for x
    x = 1,949,134,201/20,617
  6. Step 6: Final answer
    x = 94,540.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.