Finding the Third Proportional to 27,831.09 and 56,634.19
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Solution
The third proportional to 27,831.09 and 56,634.19 is: 115,246.32
Step by Step Solution
- Step 1: Write the proportion equation
27,831.09 : 56,634.19 = 56,634.19 : x - Step 2: Convert to fraction form
27,831.09/56,634.19 = 56,634.19/x - Step 3: Cross multiply
27,831.09x = 56,634.19 × 56,634.19 - Step 4: Simplify right side
27,831.09x = 3,207,431,193.79 - Step 5: Solve for x
x = 3,207,431,193.79/27,831.09 - Step 6: Final answer
x = 115,246.32
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Why These Related Problems?
These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.