Finding the Third Proportional to 23,120 and 33,038
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Solution
The third proportional to 23,120 and 33,038 is: 47,210.62
Step by Step Solution
- Step 1: Write the proportion equation
23,120 : 33,038 = 33,038 : x - Step 2: Convert to fraction form
23,120/33,038 = 33,038/x - Step 3: Cross multiply
23,120x = 33,038 × 33,038 - Step 4: Simplify right side
23,120x = 1,091,509,444 - Step 5: Solve for x
x = 1,091,509,444/23,120 - Step 6: Final answer
x = 47,210.62
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.