Finding the Third Proportional to 46,725 and 72,549
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Solution
The third proportional to 46,725 and 72,549 is: 112,645.42
Step by Step Solution
- Step 1: Write the proportion equation
46,725 : 72,549 = 72,549 : x - Step 2: Convert to fraction form
46,725/72,549 = 72,549/x - Step 3: Cross multiply
46,725x = 72,549 × 72,549 - Step 4: Simplify right side
46,725x = 5,263,357,401 - Step 5: Solve for x
x = 5,263,357,401/46,725 - Step 6: Final answer
x = 112,645.42
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.