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Finding the Third Proportional to 18,936 and 30,469.50

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Solution

The third proportional to 18,936 and 30,469.50 is: 49,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,936 : 30,469.50 = 30,469.50 : x
  2. Step 2: Convert to fraction form
    18,936/30,469.50 = 30,469.50/x
  3. Step 3: Cross multiply
    18,936x = 30,469.50 × 30,469.50
  4. Step 4: Simplify right side
    18,936x = 928,390,430.25
  5. Step 5: Solve for x
    x = 928,390,430.25/18,936
  6. Step 6: Final answer
    x = 49,027.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.