Finding the Third Proportional to 977 and 2,048.50
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Solution
The third proportional to 977 and 2,048.50 is: 4,295.14
Step by Step Solution
- Step 1: Write the proportion equation
977 : 2,048.50 = 2,048.50 : x - Step 2: Convert to fraction form
977/2,048.50 = 2,048.50/x - Step 3: Cross multiply
977x = 2,048.50 × 2,048.50 - Step 4: Simplify right side
977x = 4,196,352.25 - Step 5: Solve for x
x = 4,196,352.25/977 - Step 6: Final answer
x = 4,295.14
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Why These Related Problems?
These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.