Finding the Third Proportional to 30,810 and 71,886
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Solution
The third proportional to 30,810 and 71,886 is: 167,724.67
Step by Step Solution
- Step 1: Write the proportion equation
30,810 : 71,886 = 71,886 : x - Step 2: Convert to fraction form
30,810/71,886 = 71,886/x - Step 3: Cross multiply
30,810x = 71,886 × 71,886 - Step 4: Simplify right side
30,810x = 5,167,596,996 - Step 5: Solve for x
x = 5,167,596,996/30,810 - Step 6: Final answer
x = 167,724.67
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.