Finding the Third Proportional to 31,298 and 48,042
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Solution
The third proportional to 31,298 and 48,042 is: 73,743.81
Step by Step Solution
- Step 1: Write the proportion equation
31,298 : 48,042 = 48,042 : x - Step 2: Convert to fraction form
31,298/48,042 = 48,042/x - Step 3: Cross multiply
31,298x = 48,042 × 48,042 - Step 4: Simplify right side
31,298x = 2,308,033,764 - Step 5: Solve for x
x = 2,308,033,764/31,298 - Step 6: Final answer
x = 73,743.81
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.