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Finding the Third Proportional to 11,414 and 18,111

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Solution

The third proportional to 11,414 and 18,111 is: 28,737.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414 : 18,111 = 18,111 : x
  2. Step 2: Convert to fraction form
    11,414/18,111 = 18,111/x
  3. Step 3: Cross multiply
    11,414x = 18,111 × 18,111
  4. Step 4: Simplify right side
    11,414x = 328,008,321
  5. Step 5: Solve for x
    x = 328,008,321/11,414
  6. Step 6: Final answer
    x = 28,737.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.