Finding the Third Proportional to 24,318 and 38,097
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Solution
The third proportional to 24,318 and 38,097 is: 59,683.42
Step by Step Solution
- Step 1: Write the proportion equation
24,318 : 38,097 = 38,097 : x - Step 2: Convert to fraction form
24,318/38,097 = 38,097/x - Step 3: Cross multiply
24,318x = 38,097 × 38,097 - Step 4: Simplify right side
24,318x = 1,451,381,409 - Step 5: Solve for x
x = 1,451,381,409/24,318 - Step 6: Final answer
x = 59,683.42
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.