Finding the Third Proportional to 31,796 and 67,813
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Solution
The third proportional to 31,796 and 67,813 is: 144,628.35
Step by Step Solution
- Step 1: Write the proportion equation
31,796 : 67,813 = 67,813 : x - Step 2: Convert to fraction form
31,796/67,813 = 67,813/x - Step 3: Cross multiply
31,796x = 67,813 × 67,813 - Step 4: Simplify right side
31,796x = 4,598,602,969 - Step 5: Solve for x
x = 4,598,602,969/31,796 - Step 6: Final answer
x = 144,628.35
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.