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Finding the Third Proportional to 3,406 and 5,094

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Solution

The third proportional to 3,406 and 5,094 is: 7,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406 : 5,094 = 5,094 : x
  2. Step 2: Convert to fraction form
    3,406/5,094 = 5,094/x
  3. Step 3: Cross multiply
    3,406x = 5,094 × 5,094
  4. Step 4: Simplify right side
    3,406x = 25,948,836
  5. Step 5: Solve for x
    x = 25,948,836/3,406
  6. Step 6: Final answer
    x = 7,618.57

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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.