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Finding the Third Proportional to 5,086 and 11,143

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Solution

The third proportional to 5,086 and 11,143 is: 24,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086 : 11,143 = 11,143 : x
  2. Step 2: Convert to fraction form
    5,086/11,143 = 11,143/x
  3. Step 3: Cross multiply
    5,086x = 11,143 × 11,143
  4. Step 4: Simplify right side
    5,086x = 124,166,449
  5. Step 5: Solve for x
    x = 124,166,449/5,086
  6. Step 6: Final answer
    x = 24,413.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.