Finding the Third Proportional to 12,598 and 27,463
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Solution
The third proportional to 12,598 and 27,463 is: 59,867.94
Step by Step Solution
- Step 1: Write the proportion equation
12,598 : 27,463 = 27,463 : x - Step 2: Convert to fraction form
12,598/27,463 = 27,463/x - Step 3: Cross multiply
12,598x = 27,463 × 27,463 - Step 4: Simplify right side
12,598x = 754,216,369 - Step 5: Solve for x
x = 754,216,369/12,598 - Step 6: Final answer
x = 59,867.94
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.