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Finding the Third Proportional to 2,096 and 3,083

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Solution

The third proportional to 2,096 and 3,083 is: 4,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096 : 3,083 = 3,083 : x
  2. Step 2: Convert to fraction form
    2,096/3,083 = 3,083/x
  3. Step 3: Cross multiply
    2,096x = 3,083 × 3,083
  4. Step 4: Simplify right side
    2,096x = 9,504,889
  5. Step 5: Solve for x
    x = 9,504,889/2,096
  6. Step 6: Final answer
    x = 4,534.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.