Finding the Third Proportional to 7,234 and 10,849
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Solution
The third proportional to 7,234 and 10,849 is: 16,270.50
Step by Step Solution
- Step 1: Write the proportion equation
7,234 : 10,849 = 10,849 : x - Step 2: Convert to fraction form
7,234/10,849 = 10,849/x - Step 3: Cross multiply
7,234x = 10,849 × 10,849 - Step 4: Simplify right side
7,234x = 117,700,801 - Step 5: Solve for x
x = 117,700,801/7,234 - Step 6: Final answer
x = 16,270.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.