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Finding the Third Proportional to 856 and 2,150

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Solution

The third proportional to 856 and 2,150 is: 5,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 2,150 = 2,150 : x
  2. Step 2: Convert to fraction form
    856/2,150 = 2,150/x
  3. Step 3: Cross multiply
    856x = 2,150 × 2,150
  4. Step 4: Simplify right side
    856x = 4,622,500
  5. Step 5: Solve for x
    x = 4,622,500/856
  6. Step 6: Final answer
    x = 5,400.12

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Why These Related Problems?

These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.