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Finding the Third Proportional to 10,806.75 and 17,205.75

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Solution

The third proportional to 10,806.75 and 17,205.75 is: 27,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 17,205.75 = 17,205.75 : x
  2. Step 2: Convert to fraction form
    10,806.75/17,205.75 = 17,205.75/x
  3. Step 3: Cross multiply
    10,806.75x = 17,205.75 × 17,205.75
  4. Step 4: Simplify right side
    10,806.75x = 296,037,833.06
  5. Step 5: Solve for x
    x = 296,037,833.06/10,806.75
  6. Step 6: Final answer
    x = 27,393.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.