Finding the Third Proportional to 22,781.50 and 49,307
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Solution
The third proportional to 22,781.50 and 49,307 is: 106,717.30
Step by Step Solution
- Step 1: Write the proportion equation
22,781.50 : 49,307 = 49,307 : x - Step 2: Convert to fraction form
22,781.50/49,307 = 49,307/x - Step 3: Cross multiply
22,781.50x = 49,307 × 49,307 - Step 4: Simplify right side
22,781.50x = 2,431,180,249 - Step 5: Solve for x
x = 2,431,180,249/22,781.50 - Step 6: Final answer
x = 106,717.30
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.