Finding the Third Proportional to 38,346 and 82,848
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Solution
The third proportional to 38,346 and 82,848 is: 178,996.27
Step by Step Solution
- Step 1: Write the proportion equation
38,346 : 82,848 = 82,848 : x - Step 2: Convert to fraction form
38,346/82,848 = 82,848/x - Step 3: Cross multiply
38,346x = 82,848 × 82,848 - Step 4: Simplify right side
38,346x = 6,863,791,104 - Step 5: Solve for x
x = 6,863,791,104/38,346 - Step 6: Final answer
x = 178,996.27
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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.