Finding the Third Proportional to 27,947 and 59,023
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Solution
The third proportional to 27,947 and 59,023 is: 124,654.33
Step by Step Solution
- Step 1: Write the proportion equation
27,947 : 59,023 = 59,023 : x - Step 2: Convert to fraction form
27,947/59,023 = 59,023/x - Step 3: Cross multiply
27,947x = 59,023 × 59,023 - Step 4: Simplify right side
27,947x = 3,483,714,529 - Step 5: Solve for x
x = 3,483,714,529/27,947 - Step 6: Final answer
x = 124,654.33
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.