Finding the Third Proportional to 27,006 and 56,742
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Solution
The third proportional to 27,006 and 56,742 is: 119,219.97
Step by Step Solution
- Step 1: Write the proportion equation
27,006 : 56,742 = 56,742 : x - Step 2: Convert to fraction form
27,006/56,742 = 56,742/x - Step 3: Cross multiply
27,006x = 56,742 × 56,742 - Step 4: Simplify right side
27,006x = 3,219,654,564 - Step 5: Solve for x
x = 3,219,654,564/27,006 - Step 6: Final answer
x = 119,219.97
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.