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Finding the Third Proportional to 1,288.25 and 2,770.75

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Solution

The third proportional to 1,288.25 and 2,770.75 is: 5,959.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.25 : 2,770.75 = 2,770.75 : x
  2. Step 2: Convert to fraction form
    1,288.25/2,770.75 = 2,770.75/x
  3. Step 3: Cross multiply
    1,288.25x = 2,770.75 × 2,770.75
  4. Step 4: Simplify right side
    1,288.25x = 7,677,055.56
  5. Step 5: Solve for x
    x = 7,677,055.56/1,288.25
  6. Step 6: Final answer
    x = 5,959.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.