Finding the Third Proportional to 35,701 and 77,755
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Solution
The third proportional to 35,701 and 77,755 is: 169,346.52
Step by Step Solution
- Step 1: Write the proportion equation
35,701 : 77,755 = 77,755 : x - Step 2: Convert to fraction form
35,701/77,755 = 77,755/x - Step 3: Cross multiply
35,701x = 77,755 × 77,755 - Step 4: Simplify right side
35,701x = 6,045,840,025 - Step 5: Solve for x
x = 6,045,840,025/35,701 - Step 6: Final answer
x = 169,346.52
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.