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Finding the Third Proportional to 20,474 and 44,097

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Solution

The third proportional to 20,474 and 44,097 is: 94,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474 : 44,097 = 44,097 : x
  2. Step 2: Convert to fraction form
    20,474/44,097 = 44,097/x
  3. Step 3: Cross multiply
    20,474x = 44,097 × 44,097
  4. Step 4: Simplify right side
    20,474x = 1,944,545,409
  5. Step 5: Solve for x
    x = 1,944,545,409/20,474
  6. Step 6: Final answer
    x = 94,976.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.