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Finding the Third Proportional to 12,197.50 and 18,392

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Solution

The third proportional to 12,197.50 and 18,392 is: 27,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.50 : 18,392 = 18,392 : x
  2. Step 2: Convert to fraction form
    12,197.50/18,392 = 18,392/x
  3. Step 3: Cross multiply
    12,197.50x = 18,392 × 18,392
  4. Step 4: Simplify right side
    12,197.50x = 338,265,664
  5. Step 5: Solve for x
    x = 338,265,664/12,197.50
  6. Step 6: Final answer
    x = 27,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.