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Finding the Third Proportional to 3,447.75 and 5,273.25

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Solution

The third proportional to 3,447.75 and 5,273.25 is: 8,065.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.75 : 5,273.25 = 5,273.25 : x
  2. Step 2: Convert to fraction form
    3,447.75/5,273.25 = 5,273.25/x
  3. Step 3: Cross multiply
    3,447.75x = 5,273.25 × 5,273.25
  4. Step 4: Simplify right side
    3,447.75x = 27,807,165.56
  5. Step 5: Solve for x
    x = 27,807,165.56/3,447.75
  6. Step 6: Final answer
    x = 8,065.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.