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Finding the Third Proportional to 14,082 and 20,611

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Solution

The third proportional to 14,082 and 20,611 is: 30,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082 : 20,611 = 20,611 : x
  2. Step 2: Convert to fraction form
    14,082/20,611 = 20,611/x
  3. Step 3: Cross multiply
    14,082x = 20,611 × 20,611
  4. Step 4: Simplify right side
    14,082x = 424,813,321
  5. Step 5: Solve for x
    x = 424,813,321/14,082
  6. Step 6: Final answer
    x = 30,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.