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Finding the Third Proportional to 6,822 and 10,879

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Solution

The third proportional to 6,822 and 10,879 is: 17,348.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822 : 10,879 = 10,879 : x
  2. Step 2: Convert to fraction form
    6,822/10,879 = 10,879/x
  3. Step 3: Cross multiply
    6,822x = 10,879 × 10,879
  4. Step 4: Simplify right side
    6,822x = 118,352,641
  5. Step 5: Solve for x
    x = 118,352,641/6,822
  6. Step 6: Final answer
    x = 17,348.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.