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Finding the Third Proportional to 2,342.25 and 5,028.75

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Solution

The third proportional to 2,342.25 and 5,028.75 is: 10,796.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.25 : 5,028.75 = 5,028.75 : x
  2. Step 2: Convert to fraction form
    2,342.25/5,028.75 = 5,028.75/x
  3. Step 3: Cross multiply
    2,342.25x = 5,028.75 × 5,028.75
  4. Step 4: Simplify right side
    2,342.25x = 25,288,326.56
  5. Step 5: Solve for x
    x = 25,288,326.56/2,342.25
  6. Step 6: Final answer
    x = 10,796.60

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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.