Finding the Third Proportional to 39,805.50 and 83,931
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Solution
The third proportional to 39,805.50 and 83,931 is: 176,970.84
Step by Step Solution
- Step 1: Write the proportion equation
39,805.50 : 83,931 = 83,931 : x - Step 2: Convert to fraction form
39,805.50/83,931 = 83,931/x - Step 3: Cross multiply
39,805.50x = 83,931 × 83,931 - Step 4: Simplify right side
39,805.50x = 7,044,412,761 - Step 5: Solve for x
x = 7,044,412,761/39,805.50 - Step 6: Final answer
x = 176,970.84
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.