Finding the Third Proportional to 820.50 and 1,980
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Solution
The third proportional to 820.50 and 1,980 is: 4,778.06
Step by Step Solution
- Step 1: Write the proportion equation
820.50 : 1,980 = 1,980 : x - Step 2: Convert to fraction form
820.50/1,980 = 1,980/x - Step 3: Cross multiply
820.50x = 1,980 × 1,980 - Step 4: Simplify right side
820.50x = 3,920,400 - Step 5: Solve for x
x = 3,920,400/820.50 - Step 6: Final answer
x = 4,778.06
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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.