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Finding the Third Proportional to 12,178.50 and 18,399

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Solution

The third proportional to 12,178.50 and 18,399 is: 27,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.50 : 18,399 = 18,399 : x
  2. Step 2: Convert to fraction form
    12,178.50/18,399 = 18,399/x
  3. Step 3: Cross multiply
    12,178.50x = 18,399 × 18,399
  4. Step 4: Simplify right side
    12,178.50x = 338,523,201
  5. Step 5: Solve for x
    x = 338,523,201/12,178.50
  6. Step 6: Final answer
    x = 27,796.79

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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.