Finding the Third Proportional to 31,666.50 and 68,355
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Solution
The third proportional to 31,666.50 and 68,355 is: 147,550.44
Step by Step Solution
- Step 1: Write the proportion equation
31,666.50 : 68,355 = 68,355 : x - Step 2: Convert to fraction form
31,666.50/68,355 = 68,355/x - Step 3: Cross multiply
31,666.50x = 68,355 × 68,355 - Step 4: Simplify right side
31,666.50x = 4,672,406,025 - Step 5: Solve for x
x = 4,672,406,025/31,666.50 - Step 6: Final answer
x = 147,550.44
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.