Finding the Third Proportional to 22,946 and 50,212
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Solution
The third proportional to 22,946 and 50,212 is: 109,877.32
Step by Step Solution
- Step 1: Write the proportion equation
22,946 : 50,212 = 50,212 : x - Step 2: Convert to fraction form
22,946/50,212 = 50,212/x - Step 3: Cross multiply
22,946x = 50,212 × 50,212 - Step 4: Simplify right side
22,946x = 2,521,244,944 - Step 5: Solve for x
x = 2,521,244,944/22,946 - Step 6: Final answer
x = 109,877.32
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.