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Finding the Third Proportional to 3,626 and 7,980

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Solution

The third proportional to 3,626 and 7,980 is: 17,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626 : 7,980 = 7,980 : x
  2. Step 2: Convert to fraction form
    3,626/7,980 = 7,980/x
  3. Step 3: Cross multiply
    3,626x = 7,980 × 7,980
  4. Step 4: Simplify right side
    3,626x = 63,680,400
  5. Step 5: Solve for x
    x = 63,680,400/3,626
  6. Step 6: Final answer
    x = 17,562.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.