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Finding the Third Proportional to 26,729.44 and 37,369.41

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Solution

The third proportional to 26,729.44 and 37,369.41 is: 52,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,729.44 : 37,369.41 = 37,369.41 : x
  2. Step 2: Convert to fraction form
    26,729.44/37,369.41 = 37,369.41/x
  3. Step 3: Cross multiply
    26,729.44x = 37,369.41 × 37,369.41
  4. Step 4: Simplify right side
    26,729.44x = 1,396,472,523.48
  5. Step 5: Solve for x
    x = 1,396,472,523.48/26,729.44
  6. Step 6: Final answer
    x = 52,244.74

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.