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Finding the Third Proportional to 9,617 and 20,374

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Solution

The third proportional to 9,617 and 20,374 is: 43,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617 : 20,374 = 20,374 : x
  2. Step 2: Convert to fraction form
    9,617/20,374 = 20,374/x
  3. Step 3: Cross multiply
    9,617x = 20,374 × 20,374
  4. Step 4: Simplify right side
    9,617x = 415,099,876
  5. Step 5: Solve for x
    x = 415,099,876/9,617
  6. Step 6: Final answer
    x = 43,163.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.