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Finding the Third Proportional to 26,509.78 and 57,704.91

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Solution

The third proportional to 26,509.78 and 57,704.91 is: 125,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.78 : 57,704.91 = 57,704.91 : x
  2. Step 2: Convert to fraction form
    26,509.78/57,704.91 = 57,704.91/x
  3. Step 3: Cross multiply
    26,509.78x = 57,704.91 × 57,704.91
  4. Step 4: Simplify right side
    26,509.78x = 3,329,856,205.32
  5. Step 5: Solve for x
    x = 3,329,856,205.32/26,509.78
  6. Step 6: Final answer
    x = 125,608.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.