Finding the Third Proportional to 13,476 and 17,970
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Solution
The third proportional to 13,476 and 17,970 is: 23,962.67
Step by Step Solution
- Step 1: Write the proportion equation
13,476 : 17,970 = 17,970 : x - Step 2: Convert to fraction form
13,476/17,970 = 17,970/x - Step 3: Cross multiply
13,476x = 17,970 × 17,970 - Step 4: Simplify right side
13,476x = 322,920,900 - Step 5: Solve for x
x = 322,920,900/13,476 - Step 6: Final answer
x = 23,962.67
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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.