Finding the Third Proportional to 31,268 and 52,014
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Solution
The third proportional to 31,268 and 52,014 is: 86,524.76
Step by Step Solution
- Step 1: Write the proportion equation
31,268 : 52,014 = 52,014 : x - Step 2: Convert to fraction form
31,268/52,014 = 52,014/x - Step 3: Cross multiply
31,268x = 52,014 × 52,014 - Step 4: Simplify right side
31,268x = 2,705,456,196 - Step 5: Solve for x
x = 2,705,456,196/31,268 - Step 6: Final answer
x = 86,524.76
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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.