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Finding the Third Proportional to 1,200 and 2,036

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Solution

The third proportional to 1,200 and 2,036 is: 3,454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200 : 2,036 = 2,036 : x
  2. Step 2: Convert to fraction form
    1,200/2,036 = 2,036/x
  3. Step 3: Cross multiply
    1,200x = 2,036 × 2,036
  4. Step 4: Simplify right side
    1,200x = 4,145,296
  5. Step 5: Solve for x
    x = 4,145,296/1,200
  6. Step 6: Final answer
    x = 3,454.41

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.