Finding the Third Proportional to 22,976 and 31,536
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Solution
The third proportional to 22,976 and 31,536 is: 43,285.14
Step by Step Solution
- Step 1: Write the proportion equation
22,976 : 31,536 = 31,536 : x - Step 2: Convert to fraction form
22,976/31,536 = 31,536/x - Step 3: Cross multiply
22,976x = 31,536 × 31,536 - Step 4: Simplify right side
22,976x = 994,519,296 - Step 5: Solve for x
x = 994,519,296/22,976 - Step 6: Final answer
x = 43,285.14
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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.