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Finding the Third Proportional to 3,170 and 6,828

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Solution

The third proportional to 3,170 and 6,828 is: 14,707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170 : 6,828 = 6,828 : x
  2. Step 2: Convert to fraction form
    3,170/6,828 = 6,828/x
  3. Step 3: Cross multiply
    3,170x = 6,828 × 6,828
  4. Step 4: Simplify right side
    3,170x = 46,621,584
  5. Step 5: Solve for x
    x = 46,621,584/3,170
  6. Step 6: Final answer
    x = 14,707.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.