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Finding the Third Proportional to 14,002 and 21,611

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Solution

The third proportional to 14,002 and 21,611 is: 33,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002 : 21,611 = 21,611 : x
  2. Step 2: Convert to fraction form
    14,002/21,611 = 21,611/x
  3. Step 3: Cross multiply
    14,002x = 21,611 × 21,611
  4. Step 4: Simplify right side
    14,002x = 467,035,321
  5. Step 5: Solve for x
    x = 467,035,321/14,002
  6. Step 6: Final answer
    x = 33,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.