Finding the Third Proportional to 6,570 and 11,803.50
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Solution
The third proportional to 6,570 and 11,803.50 is: 21,205.88
Step by Step Solution
- Step 1: Write the proportion equation
6,570 : 11,803.50 = 11,803.50 : x - Step 2: Convert to fraction form
6,570/11,803.50 = 11,803.50/x - Step 3: Cross multiply
6,570x = 11,803.50 × 11,803.50 - Step 4: Simplify right side
6,570x = 139,322,612.25 - Step 5: Solve for x
x = 139,322,612.25/6,570 - Step 6: Final answer
x = 21,205.88
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Why These Related Problems?
These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.