A scale on a map shows that 
\[2.5\] centimeters represents 
\[15\] kilometers.
What number of actual kilometers are represented by 
\[17.5\] centimeters on the map?
 
 kilometers

To solve this, we can use the given scale to set up a proportion. The scale is \(2.5\) centimeters on the map representing \(15\) kilometers in real life. We want to find how many kilometers are represented by \(17.5\) centimeters.

Let \(x\) be the number of kilometers corresponding to \(17.5\) centimeters. We set up the proportion as follows:

\[
\frac{2.5 \, \text{cm}}{15 \, \text{km}} = \frac{17.5 \, \text{cm}}{x \, \text{km}}
\]

Now, solve for \(x\) by cross-multiplying:

\[
2.5 \cdot x = 15 \cdot 17.5
\]

\[
2.5 \cdot x = 262.5
\]

Now, divide both sides by \(2.5\):

\[
x = \frac{262.5}{2.5} = 105
\]

So, \(17.5\) centimeters on the map represents \(105\) kilometers.

Do you want more details or have any questions? Here are 5 related questions for further practice:

1. If 3 centimeters represent 18 kilometers, how many kilometers does 9 centimeters represent?
2. If 5 centimeters on a map represent 40 kilometers, what is the actual distance for 12 centimeters?
3. What is the distance represented by 7.5 centimeters on a map with a scale of 2 cm = 10 km?
4. If a scale reads 1 cm = 5 km, how many centimeters would represent 50 km?
5. How do you convert a map scale of 1:50,000 to a verbal scale in kilometers?

**Tip:** Always remember to use proportions when dealing with map scales; they help in comparing different values accurately!

A scale on a map shows that 2.5 centimeters represents 15 kilometers. What number of actual kilometers are represented by 17.5 centimeters on the map?

Learn how to solve map scale problems using proportions. In this example, 2.5 centimeters represents 15 kilometers. Find out how many kilometers 17.5 centimeters represent with step-by-step instructions. This math concept is perfect for students in Grades 6-8.

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