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Finding the Third Proportional to 12,880.50 and 28,105

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Solution

The third proportional to 12,880.50 and 28,105 is: 61,324.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.50 : 28,105 = 28,105 : x
  2. Step 2: Convert to fraction form
    12,880.50/28,105 = 28,105/x
  3. Step 3: Cross multiply
    12,880.50x = 28,105 × 28,105
  4. Step 4: Simplify right side
    12,880.50x = 789,891,025
  5. Step 5: Solve for x
    x = 789,891,025/12,880.50
  6. Step 6: Final answer
    x = 61,324.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.