Finding the Third Proportional to 23,971 and 37,522
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Solution
The third proportional to 23,971 and 37,522 is: 58,733.49
Step by Step Solution
- Step 1: Write the proportion equation
23,971 : 37,522 = 37,522 : x - Step 2: Convert to fraction form
23,971/37,522 = 37,522/x - Step 3: Cross multiply
23,971x = 37,522 × 37,522 - Step 4: Simplify right side
23,971x = 1,407,900,484 - Step 5: Solve for x
x = 1,407,900,484/23,971 - Step 6: Final answer
x = 58,733.49
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.