Finding the Third Proportional to 14,240 and 31,160.50
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Solution
The third proportional to 14,240 and 31,160.50 is: 68,186.57
Step by Step Solution
- Step 1: Write the proportion equation
14,240 : 31,160.50 = 31,160.50 : x - Step 2: Convert to fraction form
14,240/31,160.50 = 31,160.50/x - Step 3: Cross multiply
14,240x = 31,160.50 × 31,160.50 - Step 4: Simplify right side
14,240x = 970,976,760.25 - Step 5: Solve for x
x = 970,976,760.25/14,240 - Step 6: Final answer
x = 68,186.57
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.