Finding the Third Proportional to 14,148 and 33,038
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Solution
The third proportional to 14,148 and 33,038 is: 77,149.38
Step by Step Solution
- Step 1: Write the proportion equation
14,148 : 33,038 = 33,038 : x - Step 2: Convert to fraction form
14,148/33,038 = 33,038/x - Step 3: Cross multiply
14,148x = 33,038 × 33,038 - Step 4: Simplify right side
14,148x = 1,091,509,444 - Step 5: Solve for x
x = 1,091,509,444/14,148 - Step 6: Final answer
x = 77,149.38
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.