Finding the Third Proportional to 11,788 and 16,222
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Solution
The third proportional to 11,788 and 16,222 is: 22,323.83
Step by Step Solution
- Step 1: Write the proportion equation
11,788 : 16,222 = 16,222 : x - Step 2: Convert to fraction form
11,788/16,222 = 16,222/x - Step 3: Cross multiply
11,788x = 16,222 × 16,222 - Step 4: Simplify right side
11,788x = 263,153,284 - Step 5: Solve for x
x = 263,153,284/11,788 - Step 6: Final answer
x = 22,323.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.