Finding the Third Proportional to 23,006 and 32,558
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Solution
The third proportional to 23,006 and 32,558 is: 46,075.95
Step by Step Solution
- Step 1: Write the proportion equation
23,006 : 32,558 = 32,558 : x - Step 2: Convert to fraction form
23,006/32,558 = 32,558/x - Step 3: Cross multiply
23,006x = 32,558 × 32,558 - Step 4: Simplify right side
23,006x = 1,060,023,364 - Step 5: Solve for x
x = 1,060,023,364/23,006 - Step 6: Final answer
x = 46,075.95
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.