Finding the Third Proportional to 31,157.50 and 67,954
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Solution
The third proportional to 31,157.50 and 67,954 is: 148,206.57
Step by Step Solution
- Step 1: Write the proportion equation
31,157.50 : 67,954 = 67,954 : x - Step 2: Convert to fraction form
31,157.50/67,954 = 67,954/x - Step 3: Cross multiply
31,157.50x = 67,954 × 67,954 - Step 4: Simplify right side
31,157.50x = 4,617,746,116 - Step 5: Solve for x
x = 4,617,746,116/31,157.50 - Step 6: Final answer
x = 148,206.57
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.