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Finding the Third Proportional to 11,942.50 and 18,415

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Solution

The third proportional to 11,942.50 and 18,415 is: 28,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,942.50 : 18,415 = 18,415 : x
  2. Step 2: Convert to fraction form
    11,942.50/18,415 = 18,415/x
  3. Step 3: Cross multiply
    11,942.50x = 18,415 × 18,415
  4. Step 4: Simplify right side
    11,942.50x = 339,112,225
  5. Step 5: Solve for x
    x = 339,112,225/11,942.50
  6. Step 6: Final answer
    x = 28,395.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.