Finding the Third Proportional to 10,768 and 14,545
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Solution
The third proportional to 10,768 and 14,545 is: 19,646.83
Step by Step Solution
- Step 1: Write the proportion equation
10,768 : 14,545 = 14,545 : x - Step 2: Convert to fraction form
10,768/14,545 = 14,545/x - Step 3: Cross multiply
10,768x = 14,545 × 14,545 - Step 4: Simplify right side
10,768x = 211,557,025 - Step 5: Solve for x
x = 211,557,025/10,768 - Step 6: Final answer
x = 19,646.83
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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.