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Finding the Third Proportional to 9,673 and 20,611

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Solution

The third proportional to 9,673 and 20,611 is: 43,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673 : 20,611 = 20,611 : x
  2. Step 2: Convert to fraction form
    9,673/20,611 = 20,611/x
  3. Step 3: Cross multiply
    9,673x = 20,611 × 20,611
  4. Step 4: Simplify right side
    9,673x = 424,813,321
  5. Step 5: Solve for x
    x = 424,813,321/9,673
  6. Step 6: Final answer
    x = 43,917.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.