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Finding the Third Proportional to 12,453 and 18,727.50

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Solution

The third proportional to 12,453 and 18,727.50 is: 28,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453 : 18,727.50 = 18,727.50 : x
  2. Step 2: Convert to fraction form
    12,453/18,727.50 = 18,727.50/x
  3. Step 3: Cross multiply
    12,453x = 18,727.50 × 18,727.50
  4. Step 4: Simplify right side
    12,453x = 350,719,256.25
  5. Step 5: Solve for x
    x = 350,719,256.25/12,453
  6. Step 6: Final answer
    x = 28,163.44

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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.