Finding the Third Proportional to 9,576 and 12,932
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Solution
The third proportional to 9,576 and 12,932 is: 17,464.14
Step by Step Solution
- Step 1: Write the proportion equation
9,576 : 12,932 = 12,932 : x - Step 2: Convert to fraction form
9,576/12,932 = 12,932/x - Step 3: Cross multiply
9,576x = 12,932 × 12,932 - Step 4: Simplify right side
9,576x = 167,236,624 - Step 5: Solve for x
x = 167,236,624/9,576 - Step 6: Final answer
x = 17,464.14
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Why These Related Problems?
These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.