Finding the Third Proportional to 9,862 and 13,288
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Solution
The third proportional to 9,862 and 13,288 is: 17,904.17
Step by Step Solution
- Step 1: Write the proportion equation
9,862 : 13,288 = 13,288 : x - Step 2: Convert to fraction form
9,862/13,288 = 13,288/x - Step 3: Cross multiply
9,862x = 13,288 × 13,288 - Step 4: Simplify right side
9,862x = 176,570,944 - Step 5: Solve for x
x = 176,570,944/9,862 - Step 6: Final answer
x = 17,904.17
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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.