Finding the Third Proportional to 31,430 and 67,072
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Solution
The third proportional to 31,430 and 67,072 is: 143,132.46
Step by Step Solution
- Step 1: Write the proportion equation
31,430 : 67,072 = 67,072 : x - Step 2: Convert to fraction form
31,430/67,072 = 67,072/x - Step 3: Cross multiply
31,430x = 67,072 × 67,072 - Step 4: Simplify right side
31,430x = 4,498,653,184 - Step 5: Solve for x
x = 4,498,653,184/31,430 - Step 6: Final answer
x = 143,132.46
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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.