Finding the Third Proportional to 47,880 and 76,032
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Solution
The third proportional to 47,880 and 76,032 is: 120,736.53
Step by Step Solution
- Step 1: Write the proportion equation
47,880 : 76,032 = 76,032 : x - Step 2: Convert to fraction form
47,880/76,032 = 76,032/x - Step 3: Cross multiply
47,880x = 76,032 × 76,032 - Step 4: Simplify right side
47,880x = 5,780,865,024 - Step 5: Solve for x
x = 5,780,865,024/47,880 - Step 6: Final answer
x = 120,736.53
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.