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Finding the Third Proportional to 11,738 and 17,608

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Solution

The third proportional to 11,738 and 17,608 is: 26,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,738 : 17,608 = 17,608 : x
  2. Step 2: Convert to fraction form
    11,738/17,608 = 17,608/x
  3. Step 3: Cross multiply
    11,738x = 17,608 × 17,608
  4. Step 4: Simplify right side
    11,738x = 310,041,664
  5. Step 5: Solve for x
    x = 310,041,664/11,738
  6. Step 6: Final answer
    x = 26,413.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.