Finding the Third Proportional to 48,278 and 76,821
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Solution
The third proportional to 48,278 and 76,821 is: 122,239.24
Step by Step Solution
- Step 1: Write the proportion equation
48,278 : 76,821 = 76,821 : x - Step 2: Convert to fraction form
48,278/76,821 = 76,821/x - Step 3: Cross multiply
48,278x = 76,821 × 76,821 - Step 4: Simplify right side
48,278x = 5,901,466,041 - Step 5: Solve for x
x = 5,901,466,041/48,278 - Step 6: Final answer
x = 122,239.24
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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.