Finding the Third Proportional to 10,770 and 22,516
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Solution
The third proportional to 10,770 and 22,516 is: 47,072.45
Step by Step Solution
- Step 1: Write the proportion equation
10,770 : 22,516 = 22,516 : x - Step 2: Convert to fraction form
10,770/22,516 = 22,516/x - Step 3: Cross multiply
10,770x = 22,516 × 22,516 - Step 4: Simplify right side
10,770x = 506,970,256 - Step 5: Solve for x
x = 506,970,256/10,770 - Step 6: Final answer
x = 47,072.45
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.