Finding the Third Proportional to 55,282 and 82,980
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Solution
The third proportional to 55,282 and 82,980 is: 124,555.56
Step by Step Solution
- Step 1: Write the proportion equation
55,282 : 82,980 = 82,980 : x - Step 2: Convert to fraction form
55,282/82,980 = 82,980/x - Step 3: Cross multiply
55,282x = 82,980 × 82,980 - Step 4: Simplify right side
55,282x = 6,885,680,400 - Step 5: Solve for x
x = 6,885,680,400/55,282 - Step 6: Final answer
x = 124,555.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.