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Finding the Third Proportional to 11,027 and 14,695

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Solution

The third proportional to 11,027 and 14,695 is: 19,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027 : 14,695 = 14,695 : x
  2. Step 2: Convert to fraction form
    11,027/14,695 = 14,695/x
  3. Step 3: Cross multiply
    11,027x = 14,695 × 14,695
  4. Step 4: Simplify right side
    11,027x = 215,943,025
  5. Step 5: Solve for x
    x = 215,943,025/11,027
  6. Step 6: Final answer
    x = 19,583.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.