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Finding the Third Proportional to 20,057.63 and 31,183.31

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Solution

The third proportional to 20,057.63 and 31,183.31 is: 48,480.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.63 : 31,183.31 = 31,183.31 : x
  2. Step 2: Convert to fraction form
    20,057.63/31,183.31 = 31,183.31/x
  3. Step 3: Cross multiply
    20,057.63x = 31,183.31 × 31,183.31
  4. Step 4: Simplify right side
    20,057.63x = 972,398,978.47
  5. Step 5: Solve for x
    x = 972,398,978.47/20,057.63
  6. Step 6: Final answer
    x = 48,480.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.