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Finding the Third Proportional to 19,076.50 and 27,747.50

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Solution

The third proportional to 19,076.50 and 27,747.50 is: 40,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,076.50 : 27,747.50 = 27,747.50 : x
  2. Step 2: Convert to fraction form
    19,076.50/27,747.50 = 27,747.50/x
  3. Step 3: Cross multiply
    19,076.50x = 27,747.50 × 27,747.50
  4. Step 4: Simplify right side
    19,076.50x = 769,923,756.25
  5. Step 5: Solve for x
    x = 769,923,756.25/19,076.50
  6. Step 6: Final answer
    x = 40,359.80

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.