Finding the Third Proportional to 38,290 and 82,730
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Solution
The third proportional to 38,290 and 82,730 is: 178,747.79
Step by Step Solution
- Step 1: Write the proportion equation
38,290 : 82,730 = 82,730 : x - Step 2: Convert to fraction form
38,290/82,730 = 82,730/x - Step 3: Cross multiply
38,290x = 82,730 × 82,730 - Step 4: Simplify right side
38,290x = 6,844,252,900 - Step 5: Solve for x
x = 6,844,252,900/38,290 - Step 6: Final answer
x = 178,747.79
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.