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Finding the Third Proportional to 31,843.13 and 44,241.19

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Solution

The third proportional to 31,843.13 and 44,241.19 is: 61,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.13 : 44,241.19 = 44,241.19 : x
  2. Step 2: Convert to fraction form
    31,843.13/44,241.19 = 44,241.19/x
  3. Step 3: Cross multiply
    31,843.13x = 44,241.19 × 44,241.19
  4. Step 4: Simplify right side
    31,843.13x = 1,957,282,671.41
  5. Step 5: Solve for x
    x = 1,957,282,671.41/31,843.13
  6. Step 6: Final answer
    x = 61,466.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.