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Finding the Third Proportional to 2,725.50 and 3,295.50

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Solution

The third proportional to 2,725.50 and 3,295.50 is: 3,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.50 : 3,295.50 = 3,295.50 : x
  2. Step 2: Convert to fraction form
    2,725.50/3,295.50 = 3,295.50/x
  3. Step 3: Cross multiply
    2,725.50x = 3,295.50 × 3,295.50
  4. Step 4: Simplify right side
    2,725.50x = 10,860,320.25
  5. Step 5: Solve for x
    x = 10,860,320.25/2,725.50
  6. Step 6: Final answer
    x = 3,984.71

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.