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Finding the Third Proportional to 27,406 and 41,034

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Solution

The third proportional to 27,406 and 41,034 is: 61,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,406 : 41,034 = 41,034 : x
  2. Step 2: Convert to fraction form
    27,406/41,034 = 41,034/x
  3. Step 3: Cross multiply
    27,406x = 41,034 × 41,034
  4. Step 4: Simplify right side
    27,406x = 1,683,789,156
  5. Step 5: Solve for x
    x = 1,683,789,156/27,406
  6. Step 6: Final answer
    x = 61,438.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.