Finding the Third Proportional to 41.77 and 56.95
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Solution
The third proportional to 41.77 and 56.95 is: 77.66
Step by Step Solution
- Step 1: Write the proportion equation
41.77 : 56.95 = 56.95 : x - Step 2: Convert to fraction form
41.77/56.95 = 56.95/x - Step 3: Cross multiply
41.77x = 56.95 × 56.95 - Step 4: Simplify right side
41.77x = 3,243.66 - Step 5: Solve for x
x = 3,243.66/41.77 - Step 6: Final answer
x = 77.66
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.