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Finding the Third Proportional to 4,268.25 and 6,584.75

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Solution

The third proportional to 4,268.25 and 6,584.75 is: 10,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.25 : 6,584.75 = 6,584.75 : x
  2. Step 2: Convert to fraction form
    4,268.25/6,584.75 = 6,584.75/x
  3. Step 3: Cross multiply
    4,268.25x = 6,584.75 × 6,584.75
  4. Step 4: Simplify right side
    4,268.25x = 43,358,932.56
  5. Step 5: Solve for x
    x = 43,358,932.56/4,268.25
  6. Step 6: Final answer
    x = 10,158.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.