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Finding the Third Proportional to 18,288 and 27,439.50

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Solution

The third proportional to 18,288 and 27,439.50 is: 41,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,288 : 27,439.50 = 27,439.50 : x
  2. Step 2: Convert to fraction form
    18,288/27,439.50 = 27,439.50/x
  3. Step 3: Cross multiply
    18,288x = 27,439.50 × 27,439.50
  4. Step 4: Simplify right side
    18,288x = 752,926,160.25
  5. Step 5: Solve for x
    x = 752,926,160.25/18,288
  6. Step 6: Final answer
    x = 41,170.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.