Finding the Third Proportional to 20,997 and 32,053.50
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Solution
The third proportional to 20,997 and 32,053.50 is: 48,932.08
Step by Step Solution
- Step 1: Write the proportion equation
20,997 : 32,053.50 = 32,053.50 : x - Step 2: Convert to fraction form
20,997/32,053.50 = 32,053.50/x - Step 3: Cross multiply
20,997x = 32,053.50 × 32,053.50 - Step 4: Simplify right side
20,997x = 1,027,426,862.25 - Step 5: Solve for x
x = 1,027,426,862.25/20,997 - Step 6: Final answer
x = 48,932.08
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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.