Finding the Third Proportional to 7,234 and 14,670
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Solution
The third proportional to 7,234 and 14,670 is: 29,749.64
Step by Step Solution
- Step 1: Write the proportion equation
7,234 : 14,670 = 14,670 : x - Step 2: Convert to fraction form
7,234/14,670 = 14,670/x - Step 3: Cross multiply
7,234x = 14,670 × 14,670 - Step 4: Simplify right side
7,234x = 215,208,900 - Step 5: Solve for x
x = 215,208,900/7,234 - Step 6: Final answer
x = 29,749.64
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.