Finding the Third Proportional to 27,234 and 38,538
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Solution
The third proportional to 27,234 and 38,538 is: 54,533.94
Step by Step Solution
- Step 1: Write the proportion equation
27,234 : 38,538 = 38,538 : x - Step 2: Convert to fraction form
27,234/38,538 = 38,538/x - Step 3: Cross multiply
27,234x = 38,538 × 38,538 - Step 4: Simplify right side
27,234x = 1,485,177,444 - Step 5: Solve for x
x = 1,485,177,444/27,234 - Step 6: Final answer
x = 54,533.94
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.