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Finding the Third Proportional to 20,251 and 44,515

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Solution

The third proportional to 20,251 and 44,515 is: 97,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251 : 44,515 = 44,515 : x
  2. Step 2: Convert to fraction form
    20,251/44,515 = 44,515/x
  3. Step 3: Cross multiply
    20,251x = 44,515 × 44,515
  4. Step 4: Simplify right side
    20,251x = 1,981,585,225
  5. Step 5: Solve for x
    x = 1,981,585,225/20,251
  6. Step 6: Final answer
    x = 97,851.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.