Finding the Third Proportional to 970.50 and 1,453.50
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Solution
The third proportional to 970.50 and 1,453.50 is: 2,176.88
Step by Step Solution
- Step 1: Write the proportion equation
970.50 : 1,453.50 = 1,453.50 : x - Step 2: Convert to fraction form
970.50/1,453.50 = 1,453.50/x - Step 3: Cross multiply
970.50x = 1,453.50 × 1,453.50 - Step 4: Simplify right side
970.50x = 2,112,662.25 - Step 5: Solve for x
x = 2,112,662.25/970.50 - Step 6: Final answer
x = 2,176.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.