Finding the Third Proportional to 34,606 and 53,465
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Solution
The third proportional to 34,606 and 53,465 is: 82,601.46
Step by Step Solution
- Step 1: Write the proportion equation
34,606 : 53,465 = 53,465 : x - Step 2: Convert to fraction form
34,606/53,465 = 53,465/x - Step 3: Cross multiply
34,606x = 53,465 × 53,465 - Step 4: Simplify right side
34,606x = 2,858,506,225 - Step 5: Solve for x
x = 2,858,506,225/34,606 - Step 6: Final answer
x = 82,601.46
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Why These Related Problems?
These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.