Finding the Third Proportional to 19,792 and 31,316
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Solution
The third proportional to 19,792 and 31,316 is: 49,549.91
Step by Step Solution
- Step 1: Write the proportion equation
19,792 : 31,316 = 31,316 : x - Step 2: Convert to fraction form
19,792/31,316 = 31,316/x - Step 3: Cross multiply
19,792x = 31,316 × 31,316 - Step 4: Simplify right side
19,792x = 980,691,856 - Step 5: Solve for x
x = 980,691,856/19,792 - Step 6: Final answer
x = 49,549.91
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.