Finding the Third Proportional to 49,275 and 73,953
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Solution
The third proportional to 49,275 and 73,953 is: 110,990.28
Step by Step Solution
- Step 1: Write the proportion equation
49,275 : 73,953 = 73,953 : x - Step 2: Convert to fraction form
49,275/73,953 = 73,953/x - Step 3: Cross multiply
49,275x = 73,953 × 73,953 - Step 4: Simplify right side
49,275x = 5,469,046,209 - Step 5: Solve for x
x = 5,469,046,209/49,275 - Step 6: Final answer
x = 110,990.28
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.