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Finding the Third Proportional to 31,538.25 and 50,151.38

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Solution

The third proportional to 31,538.25 and 50,151.38 is: 79,749.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,538.25 : 50,151.38 = 50,151.38 : x
  2. Step 2: Convert to fraction form
    31,538.25/50,151.38 = 50,151.38/x
  3. Step 3: Cross multiply
    31,538.25x = 50,151.38 × 50,151.38
  4. Step 4: Simplify right side
    31,538.25x = 2,515,160,414.39
  5. Step 5: Solve for x
    x = 2,515,160,414.39/31,538.25
  6. Step 6: Final answer
    x = 79,749.52

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.