Finding the Third Proportional to 29,696 and 65,344
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Solution
The third proportional to 29,696 and 65,344 is: 143,784.97
Step by Step Solution
- Step 1: Write the proportion equation
29,696 : 65,344 = 65,344 : x - Step 2: Convert to fraction form
29,696/65,344 = 65,344/x - Step 3: Cross multiply
29,696x = 65,344 × 65,344 - Step 4: Simplify right side
29,696x = 4,269,838,336 - Step 5: Solve for x
x = 4,269,838,336/29,696 - Step 6: Final answer
x = 143,784.97
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.