Finding the Third Proportional to 5,600 and 6,160
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Solution
The third proportional to 5,600 and 6,160 is: 6,776
Step by Step Solution
- Step 1: Write the proportion equation
5,600 : 6,160 = 6,160 : x - Step 2: Convert to fraction form
5,600/6,160 = 6,160/x - Step 3: Cross multiply
5,600x = 6,160 × 6,160 - Step 4: Simplify right side
5,600x = 37,945,600 - Step 5: Solve for x
x = 37,945,600/5,600 - Step 6: Final answer
x = 6,776
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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.