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Finding the Third Proportional to 11,596 and 18,670

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Solution

The third proportional to 11,596 and 18,670 is: 30,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596 : 18,670 = 18,670 : x
  2. Step 2: Convert to fraction form
    11,596/18,670 = 18,670/x
  3. Step 3: Cross multiply
    11,596x = 18,670 × 18,670
  4. Step 4: Simplify right side
    11,596x = 348,568,900
  5. Step 5: Solve for x
    x = 348,568,900/11,596
  6. Step 6: Final answer
    x = 30,059.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.