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Finding the Third Proportional to 2,864 and 6,668

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Solution

The third proportional to 2,864 and 6,668 is: 15,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864 : 6,668 = 6,668 : x
  2. Step 2: Convert to fraction form
    2,864/6,668 = 6,668/x
  3. Step 3: Cross multiply
    2,864x = 6,668 × 6,668
  4. Step 4: Simplify right side
    2,864x = 44,462,224
  5. Step 5: Solve for x
    x = 44,462,224/2,864
  6. Step 6: Final answer
    x = 15,524.52

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.