Finding the Third Proportional to 9,735.19 and 21,027.09
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Solution
The third proportional to 9,735.19 and 21,027.09 is: 45,416.55
Step by Step Solution
- Step 1: Write the proportion equation
9,735.19 : 21,027.09 = 21,027.09 : x - Step 2: Convert to fraction form
9,735.19/21,027.09 = 21,027.09/x - Step 3: Cross multiply
9,735.19x = 21,027.09 × 21,027.09 - Step 4: Simplify right side
9,735.19x = 442,138,671.57 - Step 5: Solve for x
x = 442,138,671.57/9,735.19 - Step 6: Final answer
x = 45,416.55
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.