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Finding the Third Proportional to 3,173 and 5,662

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Solution

The third proportional to 3,173 and 5,662 is: 10,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173 : 5,662 = 5,662 : x
  2. Step 2: Convert to fraction form
    3,173/5,662 = 5,662/x
  3. Step 3: Cross multiply
    3,173x = 5,662 × 5,662
  4. Step 4: Simplify right side
    3,173x = 32,058,244
  5. Step 5: Solve for x
    x = 32,058,244/3,173
  6. Step 6: Final answer
    x = 10,103.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.