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Finding the Third Proportional to 27,933 and 58,739

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Solution

The third proportional to 27,933 and 58,739 is: 123,519.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,933 : 58,739 = 58,739 : x
  2. Step 2: Convert to fraction form
    27,933/58,739 = 58,739/x
  3. Step 3: Cross multiply
    27,933x = 58,739 × 58,739
  4. Step 4: Simplify right side
    27,933x = 3,450,270,121
  5. Step 5: Solve for x
    x = 3,450,270,121/27,933
  6. Step 6: Final answer
    x = 123,519.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.