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Finding the Third Proportional to 18,800.25 and 27,997.88

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Solution

The third proportional to 18,800.25 and 27,997.88 is: 41,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,800.25 : 27,997.88 = 27,997.88 : x
  2. Step 2: Convert to fraction form
    18,800.25/27,997.88 = 27,997.88/x
  3. Step 3: Cross multiply
    18,800.25x = 27,997.88 × 27,997.88
  4. Step 4: Simplify right side
    18,800.25x = 783,881,004.52
  5. Step 5: Solve for x
    x = 783,881,004.52/18,800.25
  6. Step 6: Final answer
    x = 41,695.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.