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Finding the Third Proportional to 23,149 and 55,794

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Solution

The third proportional to 23,149 and 55,794 is: 134,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,149 : 55,794 = 55,794 : x
  2. Step 2: Convert to fraction form
    23,149/55,794 = 55,794/x
  3. Step 3: Cross multiply
    23,149x = 55,794 × 55,794
  4. Step 4: Simplify right side
    23,149x = 3,112,970,436
  5. Step 5: Solve for x
    x = 3,112,970,436/23,149
  6. Step 6: Final answer
    x = 134,475.37

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.