Finding the Third Proportional to 14,488 and 31,792
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Solution
The third proportional to 14,488 and 31,792 is: 69,763.34
Step by Step Solution
- Step 1: Write the proportion equation
14,488 : 31,792 = 31,792 : x - Step 2: Convert to fraction form
14,488/31,792 = 31,792/x - Step 3: Cross multiply
14,488x = 31,792 × 31,792 - Step 4: Simplify right side
14,488x = 1,010,731,264 - Step 5: Solve for x
x = 1,010,731,264/14,488 - Step 6: Final answer
x = 69,763.34
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.