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Finding the Third Proportional to 31,630.50 and 48,012.75

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Solution

The third proportional to 31,630.50 and 48,012.75 is: 72,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.50 : 48,012.75 = 48,012.75 : x
  2. Step 2: Convert to fraction form
    31,630.50/48,012.75 = 48,012.75/x
  3. Step 3: Cross multiply
    31,630.50x = 48,012.75 × 48,012.75
  4. Step 4: Simplify right side
    31,630.50x = 2,305,224,162.56
  5. Step 5: Solve for x
    x = 2,305,224,162.56/31,630.50
  6. Step 6: Final answer
    x = 72,879.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.