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Finding the Third Proportional to 2,282.87 and 2,919.80

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Solution

The third proportional to 2,282.87 and 2,919.80 is: 3,734.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.87 : 2,919.80 = 2,919.80 : x
  2. Step 2: Convert to fraction form
    2,282.87/2,919.80 = 2,919.80/x
  3. Step 3: Cross multiply
    2,282.87x = 2,919.80 × 2,919.80
  4. Step 4: Simplify right side
    2,282.87x = 8,525,213.79
  5. Step 5: Solve for x
    x = 8,525,213.79/2,282.87
  6. Step 6: Final answer
    x = 3,734.43

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.