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Finding the Third Proportional to 2,775.25 and 4,171.44

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Solution

The third proportional to 2,775.25 and 4,171.44 is: 6,270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.25 : 4,171.44 = 4,171.44 : x
  2. Step 2: Convert to fraction form
    2,775.25/4,171.44 = 4,171.44/x
  3. Step 3: Cross multiply
    2,775.25x = 4,171.44 × 4,171.44
  4. Step 4: Simplify right side
    2,775.25x = 17,400,890.82
  5. Step 5: Solve for x
    x = 17,400,890.82/2,775.25
  6. Step 6: Final answer
    x = 6,270.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.