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Finding the Third Proportional to 3,083 and 6,280.50

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Solution

The third proportional to 3,083 and 6,280.50 is: 12,794.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083 : 6,280.50 = 6,280.50 : x
  2. Step 2: Convert to fraction form
    3,083/6,280.50 = 6,280.50/x
  3. Step 3: Cross multiply
    3,083x = 6,280.50 × 6,280.50
  4. Step 4: Simplify right side
    3,083x = 39,444,680.25
  5. Step 5: Solve for x
    x = 39,444,680.25/3,083
  6. Step 6: Final answer
    x = 12,794.25

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.