Finding the Third Proportional to 46,944 and 72,992
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Solution
The third proportional to 46,944 and 72,992 is: 113,493.36
Step by Step Solution
- Step 1: Write the proportion equation
46,944 : 72,992 = 72,992 : x - Step 2: Convert to fraction form
46,944/72,992 = 72,992/x - Step 3: Cross multiply
46,944x = 72,992 × 72,992 - Step 4: Simplify right side
46,944x = 5,327,832,064 - Step 5: Solve for x
x = 5,327,832,064/46,944 - Step 6: Final answer
x = 113,493.36
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.