Finding the Third Proportional to 51,216 and 76,824
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Solution
The third proportional to 51,216 and 76,824 is: 115,236
Step by Step Solution
- Step 1: Write the proportion equation
51,216 : 76,824 = 76,824 : x - Step 2: Convert to fraction form
51,216/76,824 = 76,824/x - Step 3: Cross multiply
51,216x = 76,824 × 76,824 - Step 4: Simplify right side
51,216x = 5,901,926,976 - Step 5: Solve for x
x = 5,901,926,976/51,216 - Step 6: Final answer
x = 115,236
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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.