Finding the Third Proportional to 7,200 and 16,898
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Solution
The third proportional to 7,200 and 16,898 is: 39,658.67
Step by Step Solution
- Step 1: Write the proportion equation
7,200 : 16,898 = 16,898 : x - Step 2: Convert to fraction form
7,200/16,898 = 16,898/x - Step 3: Cross multiply
7,200x = 16,898 × 16,898 - Step 4: Simplify right side
7,200x = 285,542,404 - Step 5: Solve for x
x = 285,542,404/7,200 - Step 6: Final answer
x = 39,658.67
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.