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Finding the Third Proportional to 23,634 and 29,916

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Solution

The third proportional to 23,634 and 29,916 is: 37,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634 : 29,916 = 29,916 : x
  2. Step 2: Convert to fraction form
    23,634/29,916 = 29,916/x
  3. Step 3: Cross multiply
    23,634x = 29,916 × 29,916
  4. Step 4: Simplify right side
    23,634x = 894,967,056
  5. Step 5: Solve for x
    x = 894,967,056/23,634
  6. Step 6: Final answer
    x = 37,867.78

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.