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Finding the Third Proportional to 3,284.63 and 4,619.63

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Solution

The third proportional to 3,284.63 and 4,619.63 is: 6,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.63 : 4,619.63 = 4,619.63 : x
  2. Step 2: Convert to fraction form
    3,284.63/4,619.63 = 4,619.63/x
  3. Step 3: Cross multiply
    3,284.63x = 4,619.63 × 4,619.63
  4. Step 4: Simplify right side
    3,284.63x = 21,340,935.14
  5. Step 5: Solve for x
    x = 21,340,935.14/3,284.63
  6. Step 6: Final answer
    x = 6,497.22

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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.