Finding the Third Proportional to 47,315 and 71,170
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Solution
The third proportional to 47,315 and 71,170 is: 107,052.07
Step by Step Solution
- Step 1: Write the proportion equation
47,315 : 71,170 = 71,170 : x - Step 2: Convert to fraction form
47,315/71,170 = 71,170/x - Step 3: Cross multiply
47,315x = 71,170 × 71,170 - Step 4: Simplify right side
47,315x = 5,065,168,900 - Step 5: Solve for x
x = 5,065,168,900/47,315 - Step 6: Final answer
x = 107,052.07
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.