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Finding the Third Proportional to 942.56 and 2,028.56

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Solution

The third proportional to 942.56 and 2,028.56 is: 4,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.56 : 2,028.56 = 2,028.56 : x
  2. Step 2: Convert to fraction form
    942.56/2,028.56 = 2,028.56/x
  3. Step 3: Cross multiply
    942.56x = 2,028.56 × 2,028.56
  4. Step 4: Simplify right side
    942.56x = 4,115,065.82
  5. Step 5: Solve for x
    x = 4,115,065.82/942.56
  6. Step 6: Final answer
    x = 4,365.83

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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.