Finding the Third Proportional to 31,425 and 67,771
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Solution
The third proportional to 31,425 and 67,771 is: 146,154.60
Step by Step Solution
- Step 1: Write the proportion equation
31,425 : 67,771 = 67,771 : x - Step 2: Convert to fraction form
31,425/67,771 = 67,771/x - Step 3: Cross multiply
31,425x = 67,771 × 67,771 - Step 4: Simplify right side
31,425x = 4,592,908,441 - Step 5: Solve for x
x = 4,592,908,441/31,425 - Step 6: Final answer
x = 146,154.60
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.