Finding the Third Proportional to 12,346 and 17,376
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Solution
The third proportional to 12,346 and 17,376 is: 24,455.32
Step by Step Solution
- Step 1: Write the proportion equation
12,346 : 17,376 = 17,376 : x - Step 2: Convert to fraction form
12,346/17,376 = 17,376/x - Step 3: Cross multiply
12,346x = 17,376 × 17,376 - Step 4: Simplify right side
12,346x = 301,925,376 - Step 5: Solve for x
x = 301,925,376/12,346 - Step 6: Final answer
x = 24,455.32
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.