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Finding the Third Proportional to 32,131.69 and 48,012.75

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Solution

The third proportional to 32,131.69 and 48,012.75 is: 71,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,131.69 : 48,012.75 = 48,012.75 : x
  2. Step 2: Convert to fraction form
    32,131.69/48,012.75 = 48,012.75/x
  3. Step 3: Cross multiply
    32,131.69x = 48,012.75 × 48,012.75
  4. Step 4: Simplify right side
    32,131.69x = 2,305,224,162.56
  5. Step 5: Solve for x
    x = 2,305,224,162.56/32,131.69
  6. Step 6: Final answer
    x = 71,743.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.