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Finding the Third Proportional to 11,616 and 18,592

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Solution

The third proportional to 11,616 and 18,592 is: 29,757.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616 : 18,592 = 18,592 : x
  2. Step 2: Convert to fraction form
    11,616/18,592 = 18,592/x
  3. Step 3: Cross multiply
    11,616x = 18,592 × 18,592
  4. Step 4: Simplify right side
    11,616x = 345,662,464
  5. Step 5: Solve for x
    x = 345,662,464/11,616
  6. Step 6: Final answer
    x = 29,757.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.