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Finding the Third Proportional to 10,896.75 and 16,769.25

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Solution

The third proportional to 10,896.75 and 16,769.25 is: 25,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.75 : 16,769.25 = 16,769.25 : x
  2. Step 2: Convert to fraction form
    10,896.75/16,769.25 = 16,769.25/x
  3. Step 3: Cross multiply
    10,896.75x = 16,769.25 × 16,769.25
  4. Step 4: Simplify right side
    10,896.75x = 281,207,745.56
  5. Step 5: Solve for x
    x = 281,207,745.56/10,896.75
  6. Step 6: Final answer
    x = 25,806.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.