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Finding the Third Proportional to 2,286 and 3,025

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Solution

The third proportional to 2,286 and 3,025 is: 4,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286 : 3,025 = 3,025 : x
  2. Step 2: Convert to fraction form
    2,286/3,025 = 3,025/x
  3. Step 3: Cross multiply
    2,286x = 3,025 × 3,025
  4. Step 4: Simplify right side
    2,286x = 9,150,625
  5. Step 5: Solve for x
    x = 9,150,625/2,286
  6. Step 6: Final answer
    x = 4,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.