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Finding the Third Proportional to 2,571.75 and 5,604.19

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Solution

The third proportional to 2,571.75 and 5,604.19 is: 12,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.75 : 5,604.19 = 5,604.19 : x
  2. Step 2: Convert to fraction form
    2,571.75/5,604.19 = 5,604.19/x
  3. Step 3: Cross multiply
    2,571.75x = 5,604.19 × 5,604.19
  4. Step 4: Simplify right side
    2,571.75x = 31,406,917.54
  5. Step 5: Solve for x
    x = 31,406,917.54/2,571.75
  6. Step 6: Final answer
    x = 12,212.27

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Why These Related Problems?

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