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Finding the Third Proportional to 27,814.50 and 57,933

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Solution

The third proportional to 27,814.50 and 57,933 is: 120,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814.50 : 57,933 = 57,933 : x
  2. Step 2: Convert to fraction form
    27,814.50/57,933 = 57,933/x
  3. Step 3: Cross multiply
    27,814.50x = 57,933 × 57,933
  4. Step 4: Simplify right side
    27,814.50x = 3,356,232,489
  5. Step 5: Solve for x
    x = 3,356,232,489/27,814.50
  6. Step 6: Final answer
    x = 120,664.85

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.