Finding the Third Proportional to 7,091 and 10,420
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Solution
The third proportional to 7,091 and 10,420 is: 15,311.86
Step by Step Solution
- Step 1: Write the proportion equation
7,091 : 10,420 = 10,420 : x - Step 2: Convert to fraction form
7,091/10,420 = 10,420/x - Step 3: Cross multiply
7,091x = 10,420 × 10,420 - Step 4: Simplify right side
7,091x = 108,576,400 - Step 5: Solve for x
x = 108,576,400/7,091 - Step 6: Final answer
x = 15,311.86
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.