Finding the Third Proportional to 38,298 and 57,216
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Solution
The third proportional to 38,298 and 57,216 is: 85,478.89
Step by Step Solution
- Step 1: Write the proportion equation
38,298 : 57,216 = 57,216 : x - Step 2: Convert to fraction form
38,298/57,216 = 57,216/x - Step 3: Cross multiply
38,298x = 57,216 × 57,216 - Step 4: Simplify right side
38,298x = 3,273,670,656 - Step 5: Solve for x
x = 3,273,670,656/38,298 - Step 6: Final answer
x = 85,478.89
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.