Finding the Third Proportional to 22,696 and 31,746
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Solution
The third proportional to 22,696 and 31,746 is: 44,404.68
Step by Step Solution
- Step 1: Write the proportion equation
22,696 : 31,746 = 31,746 : x - Step 2: Convert to fraction form
22,696/31,746 = 31,746/x - Step 3: Cross multiply
22,696x = 31,746 × 31,746 - Step 4: Simplify right side
22,696x = 1,007,808,516 - Step 5: Solve for x
x = 1,007,808,516/22,696 - Step 6: Final answer
x = 44,404.68
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Why These Related Problems?
These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.