Finding the Third Proportional to 13,658 and 21,897
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Solution
The third proportional to 13,658 and 21,897 is: 35,106.06
Step by Step Solution
- Step 1: Write the proportion equation
13,658 : 21,897 = 21,897 : x - Step 2: Convert to fraction form
13,658/21,897 = 21,897/x - Step 3: Cross multiply
13,658x = 21,897 × 21,897 - Step 4: Simplify right side
13,658x = 479,478,609 - Step 5: Solve for x
x = 479,478,609/13,658 - Step 6: Final answer
x = 35,106.06
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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.