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Finding the Third Proportional to 4,086 and 5,496.75

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Solution

The third proportional to 4,086 and 5,496.75 is: 7,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086 : 5,496.75 = 5,496.75 : x
  2. Step 2: Convert to fraction form
    4,086/5,496.75 = 5,496.75/x
  3. Step 3: Cross multiply
    4,086x = 5,496.75 × 5,496.75
  4. Step 4: Simplify right side
    4,086x = 30,214,260.56
  5. Step 5: Solve for x
    x = 30,214,260.56/4,086
  6. Step 6: Final answer
    x = 7,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.