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Finding the Third Proportional to 27,041 and 57,598

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Solution

The third proportional to 27,041 and 57,598 is: 122,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,041 : 57,598 = 57,598 : x
  2. Step 2: Convert to fraction form
    27,041/57,598 = 57,598/x
  3. Step 3: Cross multiply
    27,041x = 57,598 × 57,598
  4. Step 4: Simplify right side
    27,041x = 3,317,529,604
  5. Step 5: Solve for x
    x = 3,317,529,604/27,041
  6. Step 6: Final answer
    x = 122,685.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.