Finding the Third Proportional to 47,473.50 and 71,364
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Solution
The third proportional to 47,473.50 and 71,364 is: 107,277.12
Step by Step Solution
- Step 1: Write the proportion equation
47,473.50 : 71,364 = 71,364 : x - Step 2: Convert to fraction form
47,473.50/71,364 = 71,364/x - Step 3: Cross multiply
47,473.50x = 71,364 × 71,364 - Step 4: Simplify right side
47,473.50x = 5,092,820,496 - Step 5: Solve for x
x = 5,092,820,496/47,473.50 - Step 6: Final answer
x = 107,277.12
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.