Finding the Third Proportional to 20,117 and 46,656
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Solution
The third proportional to 20,117 and 46,656 is: 108,206.11
Step by Step Solution
- Step 1: Write the proportion equation
20,117 : 46,656 = 46,656 : x - Step 2: Convert to fraction form
20,117/46,656 = 46,656/x - Step 3: Cross multiply
20,117x = 46,656 × 46,656 - Step 4: Simplify right side
20,117x = 2,176,782,336 - Step 5: Solve for x
x = 2,176,782,336/20,117 - Step 6: Final answer
x = 108,206.11
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Why These Related Problems?
These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.