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Finding the Third Proportional to 11,275 and 26,099

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Solution

The third proportional to 11,275 and 26,099 is: 60,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275 : 26,099 = 26,099 : x
  2. Step 2: Convert to fraction form
    11,275/26,099 = 26,099/x
  3. Step 3: Cross multiply
    11,275x = 26,099 × 26,099
  4. Step 4: Simplify right side
    11,275x = 681,157,801
  5. Step 5: Solve for x
    x = 681,157,801/11,275
  6. Step 6: Final answer
    x = 60,413.11

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.