Finding the Third Proportional to 31,945 and 67,200
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Solution
The third proportional to 31,945 and 67,200 is: 141,362.97
Step by Step Solution
- Step 1: Write the proportion equation
31,945 : 67,200 = 67,200 : x - Step 2: Convert to fraction form
31,945/67,200 = 67,200/x - Step 3: Cross multiply
31,945x = 67,200 × 67,200 - Step 4: Simplify right side
31,945x = 4,515,840,000 - Step 5: Solve for x
x = 4,515,840,000/31,945 - Step 6: Final answer
x = 141,362.97
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.