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Finding the Third Proportional to 1,280.81 and 1,872.07

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Solution

The third proportional to 1,280.81 and 1,872.07 is: 2,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.81 : 1,872.07 = 1,872.07 : x
  2. Step 2: Convert to fraction form
    1,280.81/1,872.07 = 1,872.07/x
  3. Step 3: Cross multiply
    1,280.81x = 1,872.07 × 1,872.07
  4. Step 4: Simplify right side
    1,280.81x = 3,504,647.25
  5. Step 5: Solve for x
    x = 3,504,647.25/1,280.81
  6. Step 6: Final answer
    x = 2,736.27

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.