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Finding the Third Proportional to 12,286.38 and 18,531.38

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Solution

The third proportional to 12,286.38 and 18,531.38 is: 27,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.38 : 18,531.38 = 18,531.38 : x
  2. Step 2: Convert to fraction form
    12,286.38/18,531.38 = 18,531.38/x
  3. Step 3: Cross multiply
    12,286.38x = 18,531.38 × 18,531.38
  4. Step 4: Simplify right side
    12,286.38x = 343,411,859.39
  5. Step 5: Solve for x
    x = 343,411,859.39/12,286.38
  6. Step 6: Final answer
    x = 27,950.62

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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.