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Finding the Third Proportional to 18,847.50 and 28,314

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Solution

The third proportional to 18,847.50 and 28,314 is: 42,535.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,847.50 : 28,314 = 28,314 : x
  2. Step 2: Convert to fraction form
    18,847.50/28,314 = 28,314/x
  3. Step 3: Cross multiply
    18,847.50x = 28,314 × 28,314
  4. Step 4: Simplify right side
    18,847.50x = 801,682,596
  5. Step 5: Solve for x
    x = 801,682,596/18,847.50
  6. Step 6: Final answer
    x = 42,535.22

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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.