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Finding the Third Proportional to 3,340 and 5,084

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Solution

The third proportional to 3,340 and 5,084 is: 7,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340 : 5,084 = 5,084 : x
  2. Step 2: Convert to fraction form
    3,340/5,084 = 5,084/x
  3. Step 3: Cross multiply
    3,340x = 5,084 × 5,084
  4. Step 4: Simplify right side
    3,340x = 25,847,056
  5. Step 5: Solve for x
    x = 25,847,056/3,340
  6. Step 6: Final answer
    x = 7,738.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.