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Finding the Third Proportional to 20,179 and 44,245

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Solution

The third proportional to 20,179 and 44,245 is: 97,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 44,245 = 44,245 : x
  2. Step 2: Convert to fraction form
    20,179/44,245 = 44,245/x
  3. Step 3: Cross multiply
    20,179x = 44,245 × 44,245
  4. Step 4: Simplify right side
    20,179x = 1,957,620,025
  5. Step 5: Solve for x
    x = 1,957,620,025/20,179
  6. Step 6: Final answer
    x = 97,012.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.