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Finding the Third Proportional to 31,212.94 and 44,165.81

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Solution

The third proportional to 31,212.94 and 44,165.81 is: 62,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,212.94 : 44,165.81 = 44,165.81 : x
  2. Step 2: Convert to fraction form
    31,212.94/44,165.81 = 44,165.81/x
  3. Step 3: Cross multiply
    31,212.94x = 44,165.81 × 44,165.81
  4. Step 4: Simplify right side
    31,212.94x = 1,950,618,993.79
  5. Step 5: Solve for x
    x = 1,950,618,993.79/31,212.94
  6. Step 6: Final answer
    x = 62,493.93

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.