Finding the Third Proportional to 29,922.75 and 46,302.75
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Solution
The third proportional to 29,922.75 and 46,302.75 is: 71,649.32
Step by Step Solution
- Step 1: Write the proportion equation
29,922.75 : 46,302.75 = 46,302.75 : x - Step 2: Convert to fraction form
29,922.75/46,302.75 = 46,302.75/x - Step 3: Cross multiply
29,922.75x = 46,302.75 × 46,302.75 - Step 4: Simplify right side
29,922.75x = 2,143,944,657.56 - Step 5: Solve for x
x = 2,143,944,657.56/29,922.75 - Step 6: Final answer
x = 71,649.32
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.