Finding the Third Proportional to 42,016 and 56,064
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Solution
The third proportional to 42,016 and 56,064 is: 74,808.93
Step by Step Solution
- Step 1: Write the proportion equation
42,016 : 56,064 = 56,064 : x - Step 2: Convert to fraction form
42,016/56,064 = 56,064/x - Step 3: Cross multiply
42,016x = 56,064 × 56,064 - Step 4: Simplify right side
42,016x = 3,143,172,096 - Step 5: Solve for x
x = 3,143,172,096/42,016 - Step 6: Final answer
x = 74,808.93
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.