Finding the Third Proportional to 40,298 and 83,284
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Solution
The third proportional to 40,298 and 83,284 is: 172,123.30
Step by Step Solution
- Step 1: Write the proportion equation
40,298 : 83,284 = 83,284 : x - Step 2: Convert to fraction form
40,298/83,284 = 83,284/x - Step 3: Cross multiply
40,298x = 83,284 × 83,284 - Step 4: Simplify right side
40,298x = 6,936,224,656 - Step 5: Solve for x
x = 6,936,224,656/40,298 - Step 6: Final answer
x = 172,123.30
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Why These Related Problems?
These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.