Finding the Third Proportional to 46.50 and 70.50
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Solution
The third proportional to 46.50 and 70.50 is: 106.89
Step by Step Solution
- Step 1: Write the proportion equation
46.50 : 70.50 = 70.50 : x - Step 2: Convert to fraction form
46.50/70.50 = 70.50/x - Step 3: Cross multiply
46.50x = 70.50 × 70.50 - Step 4: Simplify right side
46.50x = 4,970.25 - Step 5: Solve for x
x = 4,970.25/46.50 - Step 6: Final answer
x = 106.89
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.