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Finding the Third Proportional to 20,609 and 44,503

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Solution

The third proportional to 20,609 and 44,503 is: 96,099.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,609 : 44,503 = 44,503 : x
  2. Step 2: Convert to fraction form
    20,609/44,503 = 44,503/x
  3. Step 3: Cross multiply
    20,609x = 44,503 × 44,503
  4. Step 4: Simplify right side
    20,609x = 1,980,517,009
  5. Step 5: Solve for x
    x = 1,980,517,009/20,609
  6. Step 6: Final answer
    x = 96,099.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.