Finding the Third Proportional to 42,514 and 69,308
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Solution
The third proportional to 42,514 and 69,308 is: 112,988.64
Step by Step Solution
- Step 1: Write the proportion equation
42,514 : 69,308 = 69,308 : x - Step 2: Convert to fraction form
42,514/69,308 = 69,308/x - Step 3: Cross multiply
42,514x = 69,308 × 69,308 - Step 4: Simplify right side
42,514x = 4,803,598,864 - Step 5: Solve for x
x = 4,803,598,864/42,514 - Step 6: Final answer
x = 112,988.64
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Why These Related Problems?
These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.