Finding the Third Proportional to 31,020 and 67,008
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Solution
The third proportional to 31,020 and 67,008 is: 144,747.65
Step by Step Solution
- Step 1: Write the proportion equation
31,020 : 67,008 = 67,008 : x - Step 2: Convert to fraction form
31,020/67,008 = 67,008/x - Step 3: Cross multiply
31,020x = 67,008 × 67,008 - Step 4: Simplify right side
31,020x = 4,490,072,064 - Step 5: Solve for x
x = 4,490,072,064/31,020 - Step 6: Final answer
x = 144,747.65
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.