Finding the Third Proportional to 42,984 and 65,748
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Solution
The third proportional to 42,984 and 65,748 is: 100,567.64
Step by Step Solution
- Step 1: Write the proportion equation
42,984 : 65,748 = 65,748 : x - Step 2: Convert to fraction form
42,984/65,748 = 65,748/x - Step 3: Cross multiply
42,984x = 65,748 × 65,748 - Step 4: Simplify right side
42,984x = 4,322,799,504 - Step 5: Solve for x
x = 4,322,799,504/42,984 - Step 6: Final answer
x = 100,567.64
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.