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Finding the Third Proportional to 20,097 and 43,764.19

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Solution

The third proportional to 20,097 and 43,764.19 is: 95,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 43,764.19 = 43,764.19 : x
  2. Step 2: Convert to fraction form
    20,097/43,764.19 = 43,764.19/x
  3. Step 3: Cross multiply
    20,097x = 43,764.19 × 43,764.19
  4. Step 4: Simplify right side
    20,097x = 1,915,304,107.54
  5. Step 5: Solve for x
    x = 1,915,304,107.54/20,097
  6. Step 6: Final answer
    x = 95,302.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.