Finding the Third Proportional to 46,984 and 72,797
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Solution
The third proportional to 46,984 and 72,797 is: 112,791.66
Step by Step Solution
- Step 1: Write the proportion equation
46,984 : 72,797 = 72,797 : x - Step 2: Convert to fraction form
46,984/72,797 = 72,797/x - Step 3: Cross multiply
46,984x = 72,797 × 72,797 - Step 4: Simplify right side
46,984x = 5,299,403,209 - Step 5: Solve for x
x = 5,299,403,209/46,984 - Step 6: Final answer
x = 112,791.66
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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.