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Finding the Third Proportional to 31,772.25 and 44,124.75

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Solution

The third proportional to 31,772.25 and 44,124.75 is: 61,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.25 : 44,124.75 = 44,124.75 : x
  2. Step 2: Convert to fraction form
    31,772.25/44,124.75 = 44,124.75/x
  3. Step 3: Cross multiply
    31,772.25x = 44,124.75 × 44,124.75
  4. Step 4: Simplify right side
    31,772.25x = 1,946,993,562.56
  5. Step 5: Solve for x
    x = 1,946,993,562.56/31,772.25
  6. Step 6: Final answer
    x = 61,279.69

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