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Finding the Third Proportional to 2,037 and 3,084

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Solution

The third proportional to 2,037 and 3,084 is: 4,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037 : 3,084 = 3,084 : x
  2. Step 2: Convert to fraction form
    2,037/3,084 = 3,084/x
  3. Step 3: Cross multiply
    2,037x = 3,084 × 3,084
  4. Step 4: Simplify right side
    2,037x = 9,511,056
  5. Step 5: Solve for x
    x = 9,511,056/2,037
  6. Step 6: Final answer
    x = 4,669.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.