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Finding the Third Proportional to 4,800 and 6,856

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Solution

The third proportional to 4,800 and 6,856 is: 9,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800 : 6,856 = 6,856 : x
  2. Step 2: Convert to fraction form
    4,800/6,856 = 6,856/x
  3. Step 3: Cross multiply
    4,800x = 6,856 × 6,856
  4. Step 4: Simplify right side
    4,800x = 47,004,736
  5. Step 5: Solve for x
    x = 47,004,736/4,800
  6. Step 6: Final answer
    x = 9,792.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.