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Finding the Third Proportional to 26,664 and 31,016

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Solution

The third proportional to 26,664 and 31,016 is: 36,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,664 : 31,016 = 31,016 : x
  2. Step 2: Convert to fraction form
    26,664/31,016 = 31,016/x
  3. Step 3: Cross multiply
    26,664x = 31,016 × 31,016
  4. Step 4: Simplify right side
    26,664x = 961,992,256
  5. Step 5: Solve for x
    x = 961,992,256/26,664
  6. Step 6: Final answer
    x = 36,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.