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Finding the Third Proportional to 29,375.71 and 44,128.71

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Solution

The third proportional to 29,375.71 and 44,128.71 is: 66,290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,375.71 : 44,128.71 = 44,128.71 : x
  2. Step 2: Convert to fraction form
    29,375.71/44,128.71 = 44,128.71/x
  3. Step 3: Cross multiply
    29,375.71x = 44,128.71 × 44,128.71
  4. Step 4: Simplify right side
    29,375.71x = 1,947,342,611.87
  5. Step 5: Solve for x
    x = 1,947,342,611.87/29,375.71
  6. Step 6: Final answer
    x = 66,290.91

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Why These Related Problems?

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