Finding the Third Proportional to 9,942 and 13,454
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Solution
The third proportional to 9,942 and 13,454 is: 18,206.61
Step by Step Solution
- Step 1: Write the proportion equation
9,942 : 13,454 = 13,454 : x - Step 2: Convert to fraction form
9,942/13,454 = 13,454/x - Step 3: Cross multiply
9,942x = 13,454 × 13,454 - Step 4: Simplify right side
9,942x = 181,010,116 - Step 5: Solve for x
x = 181,010,116/9,942 - Step 6: Final answer
x = 18,206.61
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.