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Finding the Third Proportional to 3,283.25 and 7,204.38

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Solution

The third proportional to 3,283.25 and 7,204.38 is: 15,808.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.25 : 7,204.38 = 7,204.38 : x
  2. Step 2: Convert to fraction form
    3,283.25/7,204.38 = 7,204.38/x
  3. Step 3: Cross multiply
    3,283.25x = 7,204.38 × 7,204.38
  4. Step 4: Simplify right side
    3,283.25x = 51,903,019.14
  5. Step 5: Solve for x
    x = 51,903,019.14/3,283.25
  6. Step 6: Final answer
    x = 15,808.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.