Finding the Third Proportional to 40,280 and 86,389
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Solution
The third proportional to 40,280 and 86,389 is: 185,279.53
Step by Step Solution
- Step 1: Write the proportion equation
40,280 : 86,389 = 86,389 : x - Step 2: Convert to fraction form
40,280/86,389 = 86,389/x - Step 3: Cross multiply
40,280x = 86,389 × 86,389 - Step 4: Simplify right side
40,280x = 7,463,059,321 - Step 5: Solve for x
x = 7,463,059,321/40,280 - Step 6: Final answer
x = 185,279.53
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.