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Finding the Third Proportional to 4,118 and 9,611

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Solution

The third proportional to 4,118 and 9,611 is: 22,431.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118 : 9,611 = 9,611 : x
  2. Step 2: Convert to fraction form
    4,118/9,611 = 9,611/x
  3. Step 3: Cross multiply
    4,118x = 9,611 × 9,611
  4. Step 4: Simplify right side
    4,118x = 92,371,321
  5. Step 5: Solve for x
    x = 92,371,321/4,118
  6. Step 6: Final answer
    x = 22,431.11

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.