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Finding the Third Proportional to 2,033 and 3,189

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Solution

The third proportional to 2,033 and 3,189 is: 5,002.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033 : 3,189 = 3,189 : x
  2. Step 2: Convert to fraction form
    2,033/3,189 = 3,189/x
  3. Step 3: Cross multiply
    2,033x = 3,189 × 3,189
  4. Step 4: Simplify right side
    2,033x = 10,169,721
  5. Step 5: Solve for x
    x = 10,169,721/2,033
  6. Step 6: Final answer
    x = 5,002.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.