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Finding the Third Proportional to 27,134 and 40,670

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Solution

The third proportional to 27,134 and 40,670 is: 60,958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134 : 40,670 = 40,670 : x
  2. Step 2: Convert to fraction form
    27,134/40,670 = 40,670/x
  3. Step 3: Cross multiply
    27,134x = 40,670 × 40,670
  4. Step 4: Simplify right side
    27,134x = 1,654,048,900
  5. Step 5: Solve for x
    x = 1,654,048,900/27,134
  6. Step 6: Final answer
    x = 60,958.54

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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.