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Finding the Third Proportional to 27,041 and 57,818

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Solution

The third proportional to 27,041 and 57,818 is: 123,624.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041 : 57,818 = 57,818 : x
  2. Step 2: Convert to fraction form
    27,041/57,818 = 57,818/x
  3. Step 3: Cross multiply
    27,041x = 57,818 × 57,818
  4. Step 4: Simplify right side
    27,041x = 3,342,921,124
  5. Step 5: Solve for x
    x = 3,342,921,124/27,041
  6. Step 6: Final answer
    x = 123,624.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.