Finding the Third Proportional to 10,786 and 17,152
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Solution
The third proportional to 10,786 and 17,152 is: 27,275.27
Step by Step Solution
- Step 1: Write the proportion equation
10,786 : 17,152 = 17,152 : x - Step 2: Convert to fraction form
10,786/17,152 = 17,152/x - Step 3: Cross multiply
10,786x = 17,152 × 17,152 - Step 4: Simplify right side
10,786x = 294,191,104 - Step 5: Solve for x
x = 294,191,104/10,786 - Step 6: Final answer
x = 27,275.27
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.