Finding the Third Proportional to 14,128 and 31,022
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Solution
The third proportional to 14,128 and 31,022 is: 68,117.53
Step by Step Solution
- Step 1: Write the proportion equation
14,128 : 31,022 = 31,022 : x - Step 2: Convert to fraction form
14,128/31,022 = 31,022/x - Step 3: Cross multiply
14,128x = 31,022 × 31,022 - Step 4: Simplify right side
14,128x = 962,364,484 - Step 5: Solve for x
x = 962,364,484/14,128 - Step 6: Final answer
x = 68,117.53
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.