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Finding the Third Proportional to 26,078 and 55,388

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Solution

The third proportional to 26,078 and 55,388 is: 117,640.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,078 : 55,388 = 55,388 : x
  2. Step 2: Convert to fraction form
    26,078/55,388 = 55,388/x
  3. Step 3: Cross multiply
    26,078x = 55,388 × 55,388
  4. Step 4: Simplify right side
    26,078x = 3,067,830,544
  5. Step 5: Solve for x
    x = 3,067,830,544/26,078
  6. Step 6: Final answer
    x = 117,640.56

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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.