Finding the Third Proportional to 27,780 and 59,592
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Solution
The third proportional to 27,780 and 59,592 is: 127,833.21
Step by Step Solution
- Step 1: Write the proportion equation
27,780 : 59,592 = 59,592 : x - Step 2: Convert to fraction form
27,780/59,592 = 59,592/x - Step 3: Cross multiply
27,780x = 59,592 × 59,592 - Step 4: Simplify right side
27,780x = 3,551,206,464 - Step 5: Solve for x
x = 3,551,206,464/27,780 - Step 6: Final answer
x = 127,833.21
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.