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Finding the Third Proportional to 1,717.25 and 3,189.25

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Solution

The third proportional to 1,717.25 and 3,189.25 is: 5,923.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.25 : 3,189.25 = 3,189.25 : x
  2. Step 2: Convert to fraction form
    1,717.25/3,189.25 = 3,189.25/x
  3. Step 3: Cross multiply
    1,717.25x = 3,189.25 × 3,189.25
  4. Step 4: Simplify right side
    1,717.25x = 10,171,315.56
  5. Step 5: Solve for x
    x = 10,171,315.56/1,717.25
  6. Step 6: Final answer
    x = 5,923.03

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.