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Finding the Third Proportional to 879 and 1,906

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Solution

The third proportional to 879 and 1,906 is: 4,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    879 : 1,906 = 1,906 : x
  2. Step 2: Convert to fraction form
    879/1,906 = 1,906/x
  3. Step 3: Cross multiply
    879x = 1,906 × 1,906
  4. Step 4: Simplify right side
    879x = 3,632,836
  5. Step 5: Solve for x
    x = 3,632,836/879
  6. Step 6: Final answer
    x = 4,132.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.