Finding the Third Proportional to 8,176.50 and 17,442
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Solution
The third proportional to 8,176.50 and 17,442 is: 37,207.04
Step by Step Solution
- Step 1: Write the proportion equation
8,176.50 : 17,442 = 17,442 : x - Step 2: Convert to fraction form
8,176.50/17,442 = 17,442/x - Step 3: Cross multiply
8,176.50x = 17,442 × 17,442 - Step 4: Simplify right side
8,176.50x = 304,223,364 - Step 5: Solve for x
x = 304,223,364/8,176.50 - Step 6: Final answer
x = 37,207.04
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.