Finding the Third Proportional to 31,520 and 64,480
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Solution
The third proportional to 31,520 and 64,480 is: 131,905.79
Step by Step Solution
- Step 1: Write the proportion equation
31,520 : 64,480 = 64,480 : x - Step 2: Convert to fraction form
31,520/64,480 = 64,480/x - Step 3: Cross multiply
31,520x = 64,480 × 64,480 - Step 4: Simplify right side
31,520x = 4,157,670,400 - Step 5: Solve for x
x = 4,157,670,400/31,520 - Step 6: Final answer
x = 131,905.79
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.