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Finding the Third Proportional to 26,016 and 50,736

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Solution

The third proportional to 26,016 and 50,736 is: 98,944.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016 : 50,736 = 50,736 : x
  2. Step 2: Convert to fraction form
    26,016/50,736 = 50,736/x
  3. Step 3: Cross multiply
    26,016x = 50,736 × 50,736
  4. Step 4: Simplify right side
    26,016x = 2,574,141,696
  5. Step 5: Solve for x
    x = 2,574,141,696/26,016
  6. Step 6: Final answer
    x = 98,944.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.