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Finding the Third Proportional to 26,016.75 and 61,396.75

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Solution

The third proportional to 26,016.75 and 61,396.75 is: 144,889.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,016.75 : 61,396.75 = 61,396.75 : x
  2. Step 2: Convert to fraction form
    26,016.75/61,396.75 = 61,396.75/x
  3. Step 3: Cross multiply
    26,016.75x = 61,396.75 × 61,396.75
  4. Step 4: Simplify right side
    26,016.75x = 3,769,560,910.56
  5. Step 5: Solve for x
    x = 3,769,560,910.56/26,016.75
  6. Step 6: Final answer
    x = 144,889.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.