Finding the Third Proportional to 982.13 and 2,098.69
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Solution
The third proportional to 982.13 and 2,098.69 is: 4,484.65
Step by Step Solution
- Step 1: Write the proportion equation
982.13 : 2,098.69 = 2,098.69 : x - Step 2: Convert to fraction form
982.13/2,098.69 = 2,098.69/x - Step 3: Cross multiply
982.13x = 2,098.69 × 2,098.69 - Step 4: Simplify right side
982.13x = 4,404,489.22 - Step 5: Solve for x
x = 4,404,489.22/982.13 - Step 6: Final answer
x = 4,484.65
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.