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Finding the Third Proportional to 2,170 and 3,833

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Solution

The third proportional to 2,170 and 3,833 is: 6,770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170 : 3,833 = 3,833 : x
  2. Step 2: Convert to fraction form
    2,170/3,833 = 3,833/x
  3. Step 3: Cross multiply
    2,170x = 3,833 × 3,833
  4. Step 4: Simplify right side
    2,170x = 14,691,889
  5. Step 5: Solve for x
    x = 14,691,889/2,170
  6. Step 6: Final answer
    x = 6,770.46

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.