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Finding the Third Proportional to 20,634.75 and 31,149.56

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Solution

The third proportional to 20,634.75 and 31,149.56 is: 47,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,634.75 : 31,149.56 = 31,149.56 : x
  2. Step 2: Convert to fraction form
    20,634.75/31,149.56 = 31,149.56/x
  3. Step 3: Cross multiply
    20,634.75x = 31,149.56 × 31,149.56
  4. Step 4: Simplify right side
    20,634.75x = 970,295,243.94
  5. Step 5: Solve for x
    x = 970,295,243.94/20,634.75
  6. Step 6: Final answer
    x = 47,022.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.