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Finding the Third Proportional to 1,350 and 2,025

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Solution

The third proportional to 1,350 and 2,025 is: 3,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350 : 2,025 = 2,025 : x
  2. Step 2: Convert to fraction form
    1,350/2,025 = 2,025/x
  3. Step 3: Cross multiply
    1,350x = 2,025 × 2,025
  4. Step 4: Simplify right side
    1,350x = 4,100,625
  5. Step 5: Solve for x
    x = 4,100,625/1,350
  6. Step 6: Final answer
    x = 3,037.50

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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.