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Finding the Third Proportional to 31,745.25 and 67,712.63

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Solution

The third proportional to 31,745.25 and 67,712.63 is: 144,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,745.25 : 67,712.63 = 67,712.63 : x
  2. Step 2: Convert to fraction form
    31,745.25/67,712.63 = 67,712.63/x
  3. Step 3: Cross multiply
    31,745.25x = 67,712.63 × 67,712.63
  4. Step 4: Simplify right side
    31,745.25x = 4,584,999,584.39
  5. Step 5: Solve for x
    x = 4,584,999,584.39/31,745.25
  6. Step 6: Final answer
    x = 144,431.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.