Finding the Third Proportional to 31,210 and 67,973
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Solution
The third proportional to 31,210 and 67,973 is: 148,040.01
Step by Step Solution
- Step 1: Write the proportion equation
31,210 : 67,973 = 67,973 : x - Step 2: Convert to fraction form
31,210/67,973 = 67,973/x - Step 3: Cross multiply
31,210x = 67,973 × 67,973 - Step 4: Simplify right side
31,210x = 4,620,328,729 - Step 5: Solve for x
x = 4,620,328,729/31,210 - Step 6: Final answer
x = 148,040.01
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.