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Finding the Third Proportional to 1,709.44 and 4,168.97

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Solution

The third proportional to 1,709.44 and 4,168.97 is: 10,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.44 : 4,168.97 = 4,168.97 : x
  2. Step 2: Convert to fraction form
    1,709.44/4,168.97 = 4,168.97/x
  3. Step 3: Cross multiply
    1,709.44x = 4,168.97 × 4,168.97
  4. Step 4: Simplify right side
    1,709.44x = 17,380,300.44
  5. Step 5: Solve for x
    x = 17,380,300.44/1,709.44
  6. Step 6: Final answer
    x = 10,167.26

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.