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Finding the Third Proportional to 2,031.33 and 3,033.70

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Solution

The third proportional to 2,031.33 and 3,033.70 is: 4,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.33 : 3,033.70 = 3,033.70 : x
  2. Step 2: Convert to fraction form
    2,031.33/3,033.70 = 3,033.70/x
  3. Step 3: Cross multiply
    2,031.33x = 3,033.70 × 3,033.70
  4. Step 4: Simplify right side
    2,031.33x = 9,203,354.65
  5. Step 5: Solve for x
    x = 9,203,354.65/2,031.33
  6. Step 6: Final answer
    x = 4,530.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.