Finding the Third Proportional to 42,391 and 65,535
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Solution
The third proportional to 42,391 and 65,535 is: 101,314.81
Step by Step Solution
- Step 1: Write the proportion equation
42,391 : 65,535 = 65,535 : x - Step 2: Convert to fraction form
42,391/65,535 = 65,535/x - Step 3: Cross multiply
42,391x = 65,535 × 65,535 - Step 4: Simplify right side
42,391x = 4,294,836,225 - Step 5: Solve for x
x = 4,294,836,225/42,391 - Step 6: Final answer
x = 101,314.81
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.