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Finding the Third Proportional to 20,097 and 40,740.75

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Solution

The third proportional to 20,097 and 40,740.75 is: 82,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097 : 40,740.75 = 40,740.75 : x
  2. Step 2: Convert to fraction form
    20,097/40,740.75 = 40,740.75/x
  3. Step 3: Cross multiply
    20,097x = 40,740.75 × 40,740.75
  4. Step 4: Simplify right side
    20,097x = 1,659,808,710.56
  5. Step 5: Solve for x
    x = 1,659,808,710.56/20,097
  6. Step 6: Final answer
    x = 82,589.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.