Finding the Third Proportional to 23,216 and 34,824
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Solution
The third proportional to 23,216 and 34,824 is: 52,236
Step by Step Solution
- Step 1: Write the proportion equation
23,216 : 34,824 = 34,824 : x - Step 2: Convert to fraction form
23,216/34,824 = 34,824/x - Step 3: Cross multiply
23,216x = 34,824 × 34,824 - Step 4: Simplify right side
23,216x = 1,212,710,976 - Step 5: Solve for x
x = 1,212,710,976/23,216 - Step 6: Final answer
x = 52,236
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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.