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Finding the Third Proportional to 9,682 and 20,992

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Solution

The third proportional to 9,682 and 20,992 is: 45,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682 : 20,992 = 20,992 : x
  2. Step 2: Convert to fraction form
    9,682/20,992 = 20,992/x
  3. Step 3: Cross multiply
    9,682x = 20,992 × 20,992
  4. Step 4: Simplify right side
    9,682x = 440,664,064
  5. Step 5: Solve for x
    x = 440,664,064/9,682
  6. Step 6: Final answer
    x = 45,513.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.