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Finding the Third Proportional to 31,144.82 and 46,745.70

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Solution

The third proportional to 31,144.82 and 46,745.70 is: 70,161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,144.82 : 46,745.70 = 46,745.70 : x
  2. Step 2: Convert to fraction form
    31,144.82/46,745.70 = 46,745.70/x
  3. Step 3: Cross multiply
    31,144.82x = 46,745.70 × 46,745.70
  4. Step 4: Simplify right side
    31,144.82x = 2,185,160,578.05
  5. Step 5: Solve for x
    x = 2,185,160,578.05/31,144.82
  6. Step 6: Final answer
    x = 70,161.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.