Finding the Third Proportional to 33,996.50 and 72,914
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Solution
The third proportional to 33,996.50 and 72,914 is: 156,382.32
Step by Step Solution
- Step 1: Write the proportion equation
33,996.50 : 72,914 = 72,914 : x - Step 2: Convert to fraction form
33,996.50/72,914 = 72,914/x - Step 3: Cross multiply
33,996.50x = 72,914 × 72,914 - Step 4: Simplify right side
33,996.50x = 5,316,451,396 - Step 5: Solve for x
x = 5,316,451,396/33,996.50 - Step 6: Final answer
x = 156,382.32
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.