Finding the Third Proportional to 789.75 and 1,688
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Solution
The third proportional to 789.75 and 1,688 is: 3,607.91
Step by Step Solution
- Step 1: Write the proportion equation
789.75 : 1,688 = 1,688 : x - Step 2: Convert to fraction form
789.75/1,688 = 1,688/x - Step 3: Cross multiply
789.75x = 1,688 × 1,688 - Step 4: Simplify right side
789.75x = 2,849,344 - Step 5: Solve for x
x = 2,849,344/789.75 - Step 6: Final answer
x = 3,607.91
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.