Finding the Third Proportional to 9,480 and 14,892
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Solution
The third proportional to 9,480 and 14,892 is: 23,393.64
Step by Step Solution
- Step 1: Write the proportion equation
9,480 : 14,892 = 14,892 : x - Step 2: Convert to fraction form
9,480/14,892 = 14,892/x - Step 3: Cross multiply
9,480x = 14,892 × 14,892 - Step 4: Simplify right side
9,480x = 221,771,664 - Step 5: Solve for x
x = 221,771,664/9,480 - Step 6: Final answer
x = 23,393.64
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.