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Finding the Third Proportional to 26,751 and 57,205.50

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Solution

The third proportional to 26,751 and 57,205.50 is: 122,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,751 : 57,205.50 = 57,205.50 : x
  2. Step 2: Convert to fraction form
    26,751/57,205.50 = 57,205.50/x
  3. Step 3: Cross multiply
    26,751x = 57,205.50 × 57,205.50
  4. Step 4: Simplify right side
    26,751x = 3,272,469,230.25
  5. Step 5: Solve for x
    x = 3,272,469,230.25/26,751
  6. Step 6: Final answer
    x = 122,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.