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Finding the Third Proportional to 26,015 and 55,976

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Solution

The third proportional to 26,015 and 55,976 is: 120,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,015 : 55,976 = 55,976 : x
  2. Step 2: Convert to fraction form
    26,015/55,976 = 55,976/x
  3. Step 3: Cross multiply
    26,015x = 55,976 × 55,976
  4. Step 4: Simplify right side
    26,015x = 3,133,312,576
  5. Step 5: Solve for x
    x = 3,133,312,576/26,015
  6. Step 6: Final answer
    x = 120,442.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.