Finding the Third Proportional to 31,530.50 and 67,844
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Solution
The third proportional to 31,530.50 and 67,844 is: 145,979.55
Step by Step Solution
- Step 1: Write the proportion equation
31,530.50 : 67,844 = 67,844 : x - Step 2: Convert to fraction form
31,530.50/67,844 = 67,844/x - Step 3: Cross multiply
31,530.50x = 67,844 × 67,844 - Step 4: Simplify right side
31,530.50x = 4,602,808,336 - Step 5: Solve for x
x = 4,602,808,336/31,530.50 - Step 6: Final answer
x = 145,979.55
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.