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Finding the Third Proportional to 26,016 and 55,984

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Solution

The third proportional to 26,016 and 55,984 is: 120,472.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 55,984 = 55,984 : x
  2. Step 2: Convert to fraction form
    26,016/55,984 = 55,984/x
  3. Step 3: Cross multiply
    26,016x = 55,984 × 55,984
  4. Step 4: Simplify right side
    26,016x = 3,134,208,256
  5. Step 5: Solve for x
    x = 3,134,208,256/26,016
  6. Step 6: Final answer
    x = 120,472.33

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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.