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Finding the Third Proportional to 9,230 and 18,892

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Solution

The third proportional to 9,230 and 18,892 is: 38,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230 : 18,892 = 18,892 : x
  2. Step 2: Convert to fraction form
    9,230/18,892 = 18,892/x
  3. Step 3: Cross multiply
    9,230x = 18,892 × 18,892
  4. Step 4: Simplify right side
    9,230x = 356,907,664
  5. Step 5: Solve for x
    x = 356,907,664/9,230
  6. Step 6: Final answer
    x = 38,668.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.