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Finding the Third Proportional to 27,706 and 37,670

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Solution

The third proportional to 27,706 and 37,670 is: 51,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706 : 37,670 = 37,670 : x
  2. Step 2: Convert to fraction form
    27,706/37,670 = 37,670/x
  3. Step 3: Cross multiply
    27,706x = 37,670 × 37,670
  4. Step 4: Simplify right side
    27,706x = 1,419,028,900
  5. Step 5: Solve for x
    x = 1,419,028,900/27,706
  6. Step 6: Final answer
    x = 51,217.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.