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Finding the Third Proportional to 26,338 and 55,775

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Solution

The third proportional to 26,338 and 55,775 is: 118,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338 : 55,775 = 55,775 : x
  2. Step 2: Convert to fraction form
    26,338/55,775 = 55,775/x
  3. Step 3: Cross multiply
    26,338x = 55,775 × 55,775
  4. Step 4: Simplify right side
    26,338x = 3,110,850,625
  5. Step 5: Solve for x
    x = 3,110,850,625/26,338
  6. Step 6: Final answer
    x = 118,112.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.