Finding the Third Proportional to 14,632.50 and 31,434
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Solution
The third proportional to 14,632.50 and 31,434 is: 67,527.51
Step by Step Solution
- Step 1: Write the proportion equation
14,632.50 : 31,434 = 31,434 : x - Step 2: Convert to fraction form
14,632.50/31,434 = 31,434/x - Step 3: Cross multiply
14,632.50x = 31,434 × 31,434 - Step 4: Simplify right side
14,632.50x = 988,096,356 - Step 5: Solve for x
x = 988,096,356/14,632.50 - Step 6: Final answer
x = 67,527.51
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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.