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Finding the Third Proportional to 27,414 and 40,149

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Solution

The third proportional to 27,414 and 40,149 is: 58,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 40,149 = 40,149 : x
  2. Step 2: Convert to fraction form
    27,414/40,149 = 40,149/x
  3. Step 3: Cross multiply
    27,414x = 40,149 × 40,149
  4. Step 4: Simplify right side
    27,414x = 1,611,942,201
  5. Step 5: Solve for x
    x = 1,611,942,201/27,414
  6. Step 6: Final answer
    x = 58,799.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.