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Finding the Third Proportional to 3,215.25 and 7,022.25

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Solution

The third proportional to 3,215.25 and 7,022.25 is: 15,336.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.25 : 7,022.25 = 7,022.25 : x
  2. Step 2: Convert to fraction form
    3,215.25/7,022.25 = 7,022.25/x
  3. Step 3: Cross multiply
    3,215.25x = 7,022.25 × 7,022.25
  4. Step 4: Simplify right side
    3,215.25x = 49,311,995.06
  5. Step 5: Solve for x
    x = 49,311,995.06/3,215.25
  6. Step 6: Final answer
    x = 15,336.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.