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Finding the Third Proportional to 12,180.38 and 26,441.44

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Solution

The third proportional to 12,180.38 and 26,441.44 is: 57,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.38 : 26,441.44 = 26,441.44 : x
  2. Step 2: Convert to fraction form
    12,180.38/26,441.44 = 26,441.44/x
  3. Step 3: Cross multiply
    12,180.38x = 26,441.44 × 26,441.44
  4. Step 4: Simplify right side
    12,180.38x = 699,149,617.07
  5. Step 5: Solve for x
    x = 699,149,617.07/12,180.38
  6. Step 6: Final answer
    x = 57,399.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.