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Finding the Third Proportional to 31,745.67 and 61,372.69

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Solution

The third proportional to 31,745.67 and 61,372.69 is: 118,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.67 : 61,372.69 = 61,372.69 : x
  2. Step 2: Convert to fraction form
    31,745.67/61,372.69 = 61,372.69/x
  3. Step 3: Cross multiply
    31,745.67x = 61,372.69 × 61,372.69
  4. Step 4: Simplify right side
    31,745.67x = 3,766,606,770.97
  5. Step 5: Solve for x
    x = 3,766,606,770.97/31,745.67
  6. Step 6: Final answer
    x = 118,649.46

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These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.