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Finding the Third Proportional to 3,177 and 4,583.25

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Solution

The third proportional to 3,177 and 4,583.25 is: 6,611.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177 : 4,583.25 = 4,583.25 : x
  2. Step 2: Convert to fraction form
    3,177/4,583.25 = 4,583.25/x
  3. Step 3: Cross multiply
    3,177x = 4,583.25 × 4,583.25
  4. Step 4: Simplify right side
    3,177x = 21,006,180.56
  5. Step 5: Solve for x
    x = 21,006,180.56/3,177
  6. Step 6: Final answer
    x = 6,611.95

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.