Finding the Third Proportional to 51,246 and 76,950
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Solution
The third proportional to 51,246 and 76,950 is: 115,546.63
Step by Step Solution
- Step 1: Write the proportion equation
51,246 : 76,950 = 76,950 : x - Step 2: Convert to fraction form
51,246/76,950 = 76,950/x - Step 3: Cross multiply
51,246x = 76,950 × 76,950 - Step 4: Simplify right side
51,246x = 5,921,302,500 - Step 5: Solve for x
x = 5,921,302,500/51,246 - Step 6: Final answer
x = 115,546.63
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.