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Finding the Third Proportional to 2,039 and 3,166

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Solution

The third proportional to 2,039 and 3,166 is: 4,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 3,166 = 3,166 : x
  2. Step 2: Convert to fraction form
    2,039/3,166 = 3,166/x
  3. Step 3: Cross multiply
    2,039x = 3,166 × 3,166
  4. Step 4: Simplify right side
    2,039x = 10,023,556
  5. Step 5: Solve for x
    x = 10,023,556/2,039
  6. Step 6: Final answer
    x = 4,915.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.