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Finding the Third Proportional to 20,749.13 and 31,144.31

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Solution

The third proportional to 20,749.13 and 31,144.31 is: 46,747.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,749.13 : 31,144.31 = 31,144.31 : x
  2. Step 2: Convert to fraction form
    20,749.13/31,144.31 = 31,144.31/x
  3. Step 3: Cross multiply
    20,749.13x = 31,144.31 × 31,144.31
  4. Step 4: Simplify right side
    20,749.13x = 969,968,201.10
  5. Step 5: Solve for x
    x = 969,968,201.10/20,749.13
  6. Step 6: Final answer
    x = 46,747.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.