Finding the Third Proportional to 9,543 and 23,209.50
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Solution
The third proportional to 9,543 and 23,209.50 is: 56,447.75
Step by Step Solution
- Step 1: Write the proportion equation
9,543 : 23,209.50 = 23,209.50 : x - Step 2: Convert to fraction form
9,543/23,209.50 = 23,209.50/x - Step 3: Cross multiply
9,543x = 23,209.50 × 23,209.50 - Step 4: Simplify right side
9,543x = 538,680,890.25 - Step 5: Solve for x
x = 538,680,890.25/9,543 - Step 6: Final answer
x = 56,447.75
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Why These Related Problems?
These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.