Math Problem Statement

Solve the proportion 32 : 21 = 28 : ?

Solution

The problem visible in the image seems to involve a proportion or sequence:

32 : 21 = 28 : ?

This is a common ratio or proportion problem. To solve for the missing value, we can use the cross-multiplication method:

Let the missing value be x.\text{Let the missing value be } x.

32:21=28:x    3221=28x.32 : 21 = 28 : x \implies \frac{32}{21} = \frac{28}{x}.

Solving for xx:

Cross-multiply: 32x=212832x = 21 \cdot 28

32x=58832x = 588

Divide both sides by 32: x=58832=18.375x = \frac{588}{32} = 18.375

Final Answer:

The missing value is 18.375.


Would you like further clarification or detailed steps?

Related Questions:

  1. What is a ratio, and how is it applied in mathematics?
  2. How does cross-multiplication work for solving proportions?
  3. Can this type of problem involve whole-number solutions only?
  4. What are some real-world applications of ratios?
  5. How does simplifying fractions relate to solving proportions?

Tip:

When solving ratio problems, ensure that the units or contexts of the terms are consistent to avoid errors.

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions
Cross-Multiplication

Formulas

Proportion formula: a/b = c/d
Cross-multiplication: a * d = b * c

Theorems

Basic properties of ratios and proportions

Suitable Grade Level

Grades 6-8