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Finding the Third Proportional to 11,069 and 14,367

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Solution

The third proportional to 11,069 and 14,367 is: 18,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,069 : 14,367 = 14,367 : x
  2. Step 2: Convert to fraction form
    11,069/14,367 = 14,367/x
  3. Step 3: Cross multiply
    11,069x = 14,367 × 14,367
  4. Step 4: Simplify right side
    11,069x = 206,410,689
  5. Step 5: Solve for x
    x = 206,410,689/11,069
  6. Step 6: Final answer
    x = 18,647.64

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.