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Finding the Third Proportional to 2,824.69 and 4,310.44

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Solution

The third proportional to 2,824.69 and 4,310.44 is: 6,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.69 : 4,310.44 = 4,310.44 : x
  2. Step 2: Convert to fraction form
    2,824.69/4,310.44 = 4,310.44/x
  3. Step 3: Cross multiply
    2,824.69x = 4,310.44 × 4,310.44
  4. Step 4: Simplify right side
    2,824.69x = 18,579,871.44
  5. Step 5: Solve for x
    x = 18,579,871.44/2,824.69
  6. Step 6: Final answer
    x = 6,577.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.