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Finding the Third Proportional to 1,627.31 and 3,369.80

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Solution

The third proportional to 1,627.31 and 3,369.80 is: 6,978.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.31 : 3,369.80 = 3,369.80 : x
  2. Step 2: Convert to fraction form
    1,627.31/3,369.80 = 3,369.80/x
  3. Step 3: Cross multiply
    1,627.31x = 3,369.80 × 3,369.80
  4. Step 4: Simplify right side
    1,627.31x = 11,355,530.98
  5. Step 5: Solve for x
    x = 11,355,530.98/1,627.31
  6. Step 6: Final answer
    x = 6,978.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.