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Finding the Third Proportional to 2,049.75 and 3,984.75

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Solution

The third proportional to 2,049.75 and 3,984.75 is: 7,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049.75 : 3,984.75 = 3,984.75 : x
  2. Step 2: Convert to fraction form
    2,049.75/3,984.75 = 3,984.75/x
  3. Step 3: Cross multiply
    2,049.75x = 3,984.75 × 3,984.75
  4. Step 4: Simplify right side
    2,049.75x = 15,878,232.56
  5. Step 5: Solve for x
    x = 15,878,232.56/2,049.75
  6. Step 6: Final answer
    x = 7,746.42

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.