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Finding the Third Proportional to 9,617 and 20,626

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Solution

The third proportional to 9,617 and 20,626 is: 44,237.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 20,626 = 20,626 : x
  2. Step 2: Convert to fraction form
    9,617/20,626 = 20,626/x
  3. Step 3: Cross multiply
    9,617x = 20,626 × 20,626
  4. Step 4: Simplify right side
    9,617x = 425,431,876
  5. Step 5: Solve for x
    x = 425,431,876/9,617
  6. Step 6: Final answer
    x = 44,237.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.