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Finding the Third Proportional to 26,048 and 55,552

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Solution

The third proportional to 26,048 and 55,552 is: 118,474.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,048 : 55,552 = 55,552 : x
  2. Step 2: Convert to fraction form
    26,048/55,552 = 55,552/x
  3. Step 3: Cross multiply
    26,048x = 55,552 × 55,552
  4. Step 4: Simplify right side
    26,048x = 3,086,024,704
  5. Step 5: Solve for x
    x = 3,086,024,704/26,048
  6. Step 6: Final answer
    x = 118,474.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.