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Finding the Third Proportional to 2,055.25 and 3,220.63

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Solution

The third proportional to 2,055.25 and 3,220.63 is: 5,046.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.25 : 3,220.63 = 3,220.63 : x
  2. Step 2: Convert to fraction form
    2,055.25/3,220.63 = 3,220.63/x
  3. Step 3: Cross multiply
    2,055.25x = 3,220.63 × 3,220.63
  4. Step 4: Simplify right side
    2,055.25x = 10,372,425.39
  5. Step 5: Solve for x
    x = 10,372,425.39/2,055.25
  6. Step 6: Final answer
    x = 5,046.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.