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Finding the Third Proportional to 3,096 and 4,647.75

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Solution

The third proportional to 3,096 and 4,647.75 is: 6,977.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096 : 4,647.75 = 4,647.75 : x
  2. Step 2: Convert to fraction form
    3,096/4,647.75 = 4,647.75/x
  3. Step 3: Cross multiply
    3,096x = 4,647.75 × 4,647.75
  4. Step 4: Simplify right side
    3,096x = 21,601,580.06
  5. Step 5: Solve for x
    x = 21,601,580.06/3,096
  6. Step 6: Final answer
    x = 6,977.25

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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.