Finding the Third Proportional to 17,746.50 and 36,402
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Solution
The third proportional to 17,746.50 and 36,402 is: 74,668.56
Step by Step Solution
- Step 1: Write the proportion equation
17,746.50 : 36,402 = 36,402 : x - Step 2: Convert to fraction form
17,746.50/36,402 = 36,402/x - Step 3: Cross multiply
17,746.50x = 36,402 × 36,402 - Step 4: Simplify right side
17,746.50x = 1,325,105,604 - Step 5: Solve for x
x = 1,325,105,604/17,746.50 - Step 6: Final answer
x = 74,668.56
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.