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Finding the Third Proportional to 18,916 and 23,838

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Solution

The third proportional to 18,916 and 23,838 is: 30,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916 : 23,838 = 23,838 : x
  2. Step 2: Convert to fraction form
    18,916/23,838 = 23,838/x
  3. Step 3: Cross multiply
    18,916x = 23,838 × 23,838
  4. Step 4: Simplify right side
    18,916x = 568,250,244
  5. Step 5: Solve for x
    x = 568,250,244/18,916
  6. Step 6: Final answer
    x = 30,040.72

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.