Finding the Third Proportional to 47,916 and 100,797
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Solution
The third proportional to 47,916 and 100,797 is: 212,038.47
Step by Step Solution
- Step 1: Write the proportion equation
47,916 : 100,797 = 100,797 : x - Step 2: Convert to fraction form
47,916/100,797 = 100,797/x - Step 3: Cross multiply
47,916x = 100,797 × 100,797 - Step 4: Simplify right side
47,916x = 10,160,035,209 - Step 5: Solve for x
x = 10,160,035,209/47,916 - Step 6: Final answer
x = 212,038.47
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.