Finding the Third Proportional to 9,596 and 12,888
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Solution
The third proportional to 9,596 and 12,888 is: 17,309.35
Step by Step Solution
- Step 1: Write the proportion equation
9,596 : 12,888 = 12,888 : x - Step 2: Convert to fraction form
9,596/12,888 = 12,888/x - Step 3: Cross multiply
9,596x = 12,888 × 12,888 - Step 4: Simplify right side
9,596x = 166,100,544 - Step 5: Solve for x
x = 166,100,544/9,596 - Step 6: Final answer
x = 17,309.35
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.