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Finding the Third Proportional to 5,634 and 12,199

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Solution

The third proportional to 5,634 and 12,199 is: 26,413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634 : 12,199 = 12,199 : x
  2. Step 2: Convert to fraction form
    5,634/12,199 = 12,199/x
  3. Step 3: Cross multiply
    5,634x = 12,199 × 12,199
  4. Step 4: Simplify right side
    5,634x = 148,815,601
  5. Step 5: Solve for x
    x = 148,815,601/5,634
  6. Step 6: Final answer
    x = 26,413.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.