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Finding the Third Proportional to 27,036 and 57,894

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Solution

The third proportional to 27,036 and 57,894 is: 123,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,036 : 57,894 = 57,894 : x
  2. Step 2: Convert to fraction form
    27,036/57,894 = 57,894/x
  3. Step 3: Cross multiply
    27,036x = 57,894 × 57,894
  4. Step 4: Simplify right side
    27,036x = 3,351,715,236
  5. Step 5: Solve for x
    x = 3,351,715,236/27,036
  6. Step 6: Final answer
    x = 123,972.30

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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.