Finding the Third Proportional to 31,515 and 42,051
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Solution
The third proportional to 31,515 and 42,051 is: 56,109.36
Step by Step Solution
- Step 1: Write the proportion equation
31,515 : 42,051 = 42,051 : x - Step 2: Convert to fraction form
31,515/42,051 = 42,051/x - Step 3: Cross multiply
31,515x = 42,051 × 42,051 - Step 4: Simplify right side
31,515x = 1,768,286,601 - Step 5: Solve for x
x = 1,768,286,601/31,515 - Step 6: Final answer
x = 56,109.36
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Why These Related Problems?
These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.