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Finding the Third Proportional to 2,720.25 and 5,794.88

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Solution

The third proportional to 2,720.25 and 5,794.88 is: 12,344.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,720.25 : 5,794.88 = 5,794.88 : x
  2. Step 2: Convert to fraction form
    2,720.25/5,794.88 = 5,794.88/x
  3. Step 3: Cross multiply
    2,720.25x = 5,794.88 × 5,794.88
  4. Step 4: Simplify right side
    2,720.25x = 33,580,576.27
  5. Step 5: Solve for x
    x = 33,580,576.27/2,720.25
  6. Step 6: Final answer
    x = 12,344.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.