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Finding the Third Proportional to 3,212 and 7,406

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Solution

The third proportional to 3,212 and 7,406 is: 17,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212 : 7,406 = 7,406 : x
  2. Step 2: Convert to fraction form
    3,212/7,406 = 7,406/x
  3. Step 3: Cross multiply
    3,212x = 7,406 × 7,406
  4. Step 4: Simplify right side
    3,212x = 54,848,836
  5. Step 5: Solve for x
    x = 54,848,836/3,212
  6. Step 6: Final answer
    x = 17,076.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.