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Finding the Third Proportional to 9,631 and 20,989

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Solution

The third proportional to 9,631 and 20,989 is: 45,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 20,989 = 20,989 : x
  2. Step 2: Convert to fraction form
    9,631/20,989 = 20,989/x
  3. Step 3: Cross multiply
    9,631x = 20,989 × 20,989
  4. Step 4: Simplify right side
    9,631x = 440,538,121
  5. Step 5: Solve for x
    x = 440,538,121/9,631
  6. Step 6: Final answer
    x = 45,741.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.