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Finding the Third Proportional to 2,000.25 and 3,000.75

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Solution

The third proportional to 2,000.25 and 3,000.75 is: 4,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.25 : 3,000.75 = 3,000.75 : x
  2. Step 2: Convert to fraction form
    2,000.25/3,000.75 = 3,000.75/x
  3. Step 3: Cross multiply
    2,000.25x = 3,000.75 × 3,000.75
  4. Step 4: Simplify right side
    2,000.25x = 9,004,500.56
  5. Step 5: Solve for x
    x = 9,004,500.56/2,000.25
  6. Step 6: Final answer
    x = 4,501.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.