Finding the Third Proportional to 42,904 and 65,632
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Solution
The third proportional to 42,904 and 65,632 is: 100,399.95
Step by Step Solution
- Step 1: Write the proportion equation
42,904 : 65,632 = 65,632 : x - Step 2: Convert to fraction form
42,904/65,632 = 65,632/x - Step 3: Cross multiply
42,904x = 65,632 × 65,632 - Step 4: Simplify right side
42,904x = 4,307,559,424 - Step 5: Solve for x
x = 4,307,559,424/42,904 - Step 6: Final answer
x = 100,399.95
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.