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Finding the Third Proportional to 26,453 and 55,098

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Solution

The third proportional to 26,453 and 55,098 is: 114,761.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,453 : 55,098 = 55,098 : x
  2. Step 2: Convert to fraction form
    26,453/55,098 = 55,098/x
  3. Step 3: Cross multiply
    26,453x = 55,098 × 55,098
  4. Step 4: Simplify right side
    26,453x = 3,035,789,604
  5. Step 5: Solve for x
    x = 3,035,789,604/26,453
  6. Step 6: Final answer
    x = 114,761.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.