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Finding the Third Proportional to 27,928 and 57,800

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Solution

The third proportional to 27,928 and 57,800 is: 119,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,928 : 57,800 = 57,800 : x
  2. Step 2: Convert to fraction form
    27,928/57,800 = 57,800/x
  3. Step 3: Cross multiply
    27,928x = 57,800 × 57,800
  4. Step 4: Simplify right side
    27,928x = 3,340,840,000
  5. Step 5: Solve for x
    x = 3,340,840,000/27,928
  6. Step 6: Final answer
    x = 119,623.32

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.