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Finding the Third Proportional to 5,401.69 and 6,846.19

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Solution

The third proportional to 5,401.69 and 6,846.19 is: 8,676.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,401.69 : 6,846.19 = 6,846.19 : x
  2. Step 2: Convert to fraction form
    5,401.69/6,846.19 = 6,846.19/x
  3. Step 3: Cross multiply
    5,401.69x = 6,846.19 × 6,846.19
  4. Step 4: Simplify right side
    5,401.69x = 46,870,283.29
  5. Step 5: Solve for x
    x = 46,870,283.29/5,401.69
  6. Step 6: Final answer
    x = 8,676.97

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.