Finding the Third Proportional to 972 and 2,266.50
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Solution
The third proportional to 972 and 2,266.50 is: 5,285.00
Step by Step Solution
- Step 1: Write the proportion equation
972 : 2,266.50 = 2,266.50 : x - Step 2: Convert to fraction form
972/2,266.50 = 2,266.50/x - Step 3: Cross multiply
972x = 2,266.50 × 2,266.50 - Step 4: Simplify right side
972x = 5,137,022.25 - Step 5: Solve for x
x = 5,137,022.25/972 - Step 6: Final answer
x = 5,285.00
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.