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Finding the Third Proportional to 4,226.63 and 5,608.69

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Solution

The third proportional to 4,226.63 and 5,608.69 is: 7,442.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.63 : 5,608.69 = 5,608.69 : x
  2. Step 2: Convert to fraction form
    4,226.63/5,608.69 = 5,608.69/x
  3. Step 3: Cross multiply
    4,226.63x = 5,608.69 × 5,608.69
  4. Step 4: Simplify right side
    4,226.63x = 31,457,375.47
  5. Step 5: Solve for x
    x = 31,457,375.47/4,226.63
  6. Step 6: Final answer
    x = 7,442.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.