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Finding the Third Proportional to 5,186 and 11,176

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Solution

The third proportional to 5,186 and 11,176 is: 24,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186 : 11,176 = 11,176 : x
  2. Step 2: Convert to fraction form
    5,186/11,176 = 11,176/x
  3. Step 3: Cross multiply
    5,186x = 11,176 × 11,176
  4. Step 4: Simplify right side
    5,186x = 124,902,976
  5. Step 5: Solve for x
    x = 124,902,976/5,186
  6. Step 6: Final answer
    x = 24,084.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.