Finding the Third Proportional to 41,710 and 64,682
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Solution
The third proportional to 41,710 and 64,682 is: 100,305.95
Step by Step Solution
- Step 1: Write the proportion equation
41,710 : 64,682 = 64,682 : x - Step 2: Convert to fraction form
41,710/64,682 = 64,682/x - Step 3: Cross multiply
41,710x = 64,682 × 64,682 - Step 4: Simplify right side
41,710x = 4,183,761,124 - Step 5: Solve for x
x = 4,183,761,124/41,710 - Step 6: Final answer
x = 100,305.95
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.