Finding the Third Proportional to 9,996 and 14,670
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Solution
The third proportional to 9,996 and 14,670 is: 21,529.50
Step by Step Solution
- Step 1: Write the proportion equation
9,996 : 14,670 = 14,670 : x - Step 2: Convert to fraction form
9,996/14,670 = 14,670/x - Step 3: Cross multiply
9,996x = 14,670 × 14,670 - Step 4: Simplify right side
9,996x = 215,208,900 - Step 5: Solve for x
x = 215,208,900/9,996 - Step 6: Final answer
x = 21,529.50
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.