Finding the Third Proportional to 913 and 2,206
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Solution
The third proportional to 913 and 2,206 is: 5,330.16
Step by Step Solution
- Step 1: Write the proportion equation
913 : 2,206 = 2,206 : x - Step 2: Convert to fraction form
913/2,206 = 2,206/x - Step 3: Cross multiply
913x = 2,206 × 2,206 - Step 4: Simplify right side
913x = 4,866,436 - Step 5: Solve for x
x = 4,866,436/913 - Step 6: Final answer
x = 5,330.16
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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.