Finding the Third Proportional to 45,920 and 70,960
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Solution
The third proportional to 45,920 and 70,960 is: 109,654.22
Step by Step Solution
- Step 1: Write the proportion equation
45,920 : 70,960 = 70,960 : x - Step 2: Convert to fraction form
45,920/70,960 = 70,960/x - Step 3: Cross multiply
45,920x = 70,960 × 70,960 - Step 4: Simplify right side
45,920x = 5,035,321,600 - Step 5: Solve for x
x = 5,035,321,600/45,920 - Step 6: Final answer
x = 109,654.22
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.