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The problem provided asks to determine how many miles correspond to 54 kilometers, given the conversion ratio of 5 miles ≈ 8 kilometers.

### Step-by-step solution:

1. **Set up the ratio**: 
   The problem provides that 5 miles is approximately 8 kilometers. You need to find how many miles (denoted by "?") correspond to 54 kilometers. This can be set up as a proportion:
   \[
   \frac{5 \text{ miles}}{8 \text{ km}} = \frac{? \text{ miles}}{54 \text{ km}}
   \]

2. **Find the multiplication factor**:
   The next step is to find what factor turns 8 km into 54 km. To do this, divide 54 by 8:
   \[
   \frac{54}{8} = 6.75
   \]
   This means that 54 km is 6.75 times larger than 8 km.

3. **Apply the factor to the miles**:
   Since the ratio of miles to kilometers remains constant, multiply 5 miles by the same factor (6.75) to find how many miles correspond to 54 kilometers:
   \[
   5 \times 6.75 = 33.75 \text{ miles}
   \]

Therefore, approximately **33.75 miles** corresponds to 54 kilometers.

Would you like more details or have any further questions?

### Follow-up questions:
1. How do you set up a proportion to solve similar problems?
2. What is the significance of multiplying both sides of a proportion by the same factor?
3. Can you find the conversion factor if the ratio of kilometers to miles was reversed (from miles to kilometers)?
4. How would this approach change if the problem involved a different pair of units, such as meters to miles?
5. How do you round results when the exact answer is not practical to use?

**Tip**: Always double-check your unit conversions to ensure the accuracy of your final answer.

If 5 miles ≈ 8 km, about how many miles would be equal to 54 km? Show how you decided.

Learn how to solve a proportion problem by finding the number of miles that correspond to 54 km, given the conversion ratio of 5 miles ≈ 8 km. This step-by-step solution involves setting up the ratio and applying a multiplication factor, suitable for Grade 6 students.

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