Finding the Third Proportional to 50,764 and 74,414
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Solution
The third proportional to 50,764 and 74,414 is: 109,082.09
Step by Step Solution
- Step 1: Write the proportion equation
50,764 : 74,414 = 74,414 : x - Step 2: Convert to fraction form
50,764/74,414 = 74,414/x - Step 3: Cross multiply
50,764x = 74,414 × 74,414 - Step 4: Simplify right side
50,764x = 5,537,443,396 - Step 5: Solve for x
x = 5,537,443,396/50,764 - Step 6: Final answer
x = 109,082.09
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.