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Finding the Third Proportional to 3,980 and 9,617

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Solution

The third proportional to 3,980 and 9,617 is: 23,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980 : 9,617 = 9,617 : x
  2. Step 2: Convert to fraction form
    3,980/9,617 = 9,617/x
  3. Step 3: Cross multiply
    3,980x = 9,617 × 9,617
  4. Step 4: Simplify right side
    3,980x = 92,486,689
  5. Step 5: Solve for x
    x = 92,486,689/3,980
  6. Step 6: Final answer
    x = 23,237.86

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.