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Finding the Third Proportional to 20,617.03 and 43,147.69

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Solution

The third proportional to 20,617.03 and 43,147.69 is: 90,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.03 : 43,147.69 = 43,147.69 : x
  2. Step 2: Convert to fraction form
    20,617.03/43,147.69 = 43,147.69/x
  3. Step 3: Cross multiply
    20,617.03x = 43,147.69 × 43,147.69
  4. Step 4: Simplify right side
    20,617.03x = 1,861,722,936.60
  5. Step 5: Solve for x
    x = 1,861,722,936.60/20,617.03
  6. Step 6: Final answer
    x = 90,300.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.