Finding the Third Proportional to 19,806 and 41,246
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Solution
The third proportional to 19,806 and 41,246 is: 85,894.81
Step by Step Solution
- Step 1: Write the proportion equation
19,806 : 41,246 = 41,246 : x - Step 2: Convert to fraction form
19,806/41,246 = 41,246/x - Step 3: Cross multiply
19,806x = 41,246 × 41,246 - Step 4: Simplify right side
19,806x = 1,701,232,516 - Step 5: Solve for x
x = 1,701,232,516/19,806 - Step 6: Final answer
x = 85,894.81
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.