Finding the Third Proportional to 42,430 and 64,761
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Solution
The third proportional to 42,430 and 64,761 is: 98,844.85
Step by Step Solution
- Step 1: Write the proportion equation
42,430 : 64,761 = 64,761 : x - Step 2: Convert to fraction form
42,430/64,761 = 64,761/x - Step 3: Cross multiply
42,430x = 64,761 × 64,761 - Step 4: Simplify right side
42,430x = 4,193,987,121 - Step 5: Solve for x
x = 4,193,987,121/42,430 - Step 6: Final answer
x = 98,844.85
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.