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Finding the Third Proportional to 6,282 and 14,611

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Solution

The third proportional to 6,282 and 14,611 is: 33,983.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282 : 14,611 = 14,611 : x
  2. Step 2: Convert to fraction form
    6,282/14,611 = 14,611/x
  3. Step 3: Cross multiply
    6,282x = 14,611 × 14,611
  4. Step 4: Simplify right side
    6,282x = 213,481,321
  5. Step 5: Solve for x
    x = 213,481,321/6,282
  6. Step 6: Final answer
    x = 33,983.02

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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.