Finding the Third Proportional to 23,616 and 31,488
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Solution
The third proportional to 23,616 and 31,488 is: 41,984
Step by Step Solution
- Step 1: Write the proportion equation
23,616 : 31,488 = 31,488 : x - Step 2: Convert to fraction form
23,616/31,488 = 31,488/x - Step 3: Cross multiply
23,616x = 31,488 × 31,488 - Step 4: Simplify right side
23,616x = 991,494,144 - Step 5: Solve for x
x = 991,494,144/23,616 - Step 6: Final answer
x = 41,984
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.