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Finding the Third Proportional to 26,296 and 57,851

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Solution

The third proportional to 26,296 and 57,851 is: 127,271.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,296 : 57,851 = 57,851 : x
  2. Step 2: Convert to fraction form
    26,296/57,851 = 57,851/x
  3. Step 3: Cross multiply
    26,296x = 57,851 × 57,851
  4. Step 4: Simplify right side
    26,296x = 3,346,738,201
  5. Step 5: Solve for x
    x = 3,346,738,201/26,296
  6. Step 6: Final answer
    x = 127,271.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.