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Finding the Third Proportional to 2,919.50 and 4,439.75

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Solution

The third proportional to 2,919.50 and 4,439.75 is: 6,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.50 : 4,439.75 = 4,439.75 : x
  2. Step 2: Convert to fraction form
    2,919.50/4,439.75 = 4,439.75/x
  3. Step 3: Cross multiply
    2,919.50x = 4,439.75 × 4,439.75
  4. Step 4: Simplify right side
    2,919.50x = 19,711,380.06
  5. Step 5: Solve for x
    x = 19,711,380.06/2,919.50
  6. Step 6: Final answer
    x = 6,751.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.