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Finding the Third Proportional to 3,170 and 4,809

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Solution

The third proportional to 3,170 and 4,809 is: 7,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 4,809 = 4,809 : x
  2. Step 2: Convert to fraction form
    3,170/4,809 = 4,809/x
  3. Step 3: Cross multiply
    3,170x = 4,809 × 4,809
  4. Step 4: Simplify right side
    3,170x = 23,126,481
  5. Step 5: Solve for x
    x = 23,126,481/3,170
  6. Step 6: Final answer
    x = 7,295.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.