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Finding the Third Proportional to 3,272.49 and 4,626.82

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Solution

The third proportional to 3,272.49 and 4,626.82 is: 6,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.49 : 4,626.82 = 4,626.82 : x
  2. Step 2: Convert to fraction form
    3,272.49/4,626.82 = 4,626.82/x
  3. Step 3: Cross multiply
    3,272.49x = 4,626.82 × 4,626.82
  4. Step 4: Simplify right side
    3,272.49x = 21,407,449.26
  5. Step 5: Solve for x
    x = 21,407,449.26/3,272.49
  6. Step 6: Final answer
    x = 6,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.