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Finding the Third Proportional to 26,398 and 56,923

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Solution

The third proportional to 26,398 and 56,923 is: 122,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,398 : 56,923 = 56,923 : x
  2. Step 2: Convert to fraction form
    26,398/56,923 = 56,923/x
  3. Step 3: Cross multiply
    26,398x = 56,923 × 56,923
  4. Step 4: Simplify right side
    26,398x = 3,240,227,929
  5. Step 5: Solve for x
    x = 3,240,227,929/26,398
  6. Step 6: Final answer
    x = 122,745.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.