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Finding the Third Proportional to 3,186 and 5,293

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Solution

The third proportional to 3,186 and 5,293 is: 8,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 5,293 = 5,293 : x
  2. Step 2: Convert to fraction form
    3,186/5,293 = 5,293/x
  3. Step 3: Cross multiply
    3,186x = 5,293 × 5,293
  4. Step 4: Simplify right side
    3,186x = 28,015,849
  5. Step 5: Solve for x
    x = 28,015,849/3,186
  6. Step 6: Final answer
    x = 8,793.42

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.