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Finding the Third Proportional to 1,204.69 and 2,505.56

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Solution

The third proportional to 1,204.69 and 2,505.56 is: 5,211.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.69 : 2,505.56 = 2,505.56 : x
  2. Step 2: Convert to fraction form
    1,204.69/2,505.56 = 2,505.56/x
  3. Step 3: Cross multiply
    1,204.69x = 2,505.56 × 2,505.56
  4. Step 4: Simplify right side
    1,204.69x = 6,277,843.44
  5. Step 5: Solve for x
    x = 6,277,843.44/1,204.69
  6. Step 6: Final answer
    x = 5,211.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.