Finding the Third Proportional to 31,658 and 67,708
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Solution
The third proportional to 31,658 and 67,708 is: 144,809.31
Step by Step Solution
- Step 1: Write the proportion equation
31,658 : 67,708 = 67,708 : x - Step 2: Convert to fraction form
31,658/67,708 = 67,708/x - Step 3: Cross multiply
31,658x = 67,708 × 67,708 - Step 4: Simplify right side
31,658x = 4,584,373,264 - Step 5: Solve for x
x = 4,584,373,264/31,658 - Step 6: Final answer
x = 144,809.31
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.