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Finding the Third Proportional to 26,668 and 38,111

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Solution

The third proportional to 26,668 and 38,111 is: 54,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,668 : 38,111 = 38,111 : x
  2. Step 2: Convert to fraction form
    26,668/38,111 = 38,111/x
  3. Step 3: Cross multiply
    26,668x = 38,111 × 38,111
  4. Step 4: Simplify right side
    26,668x = 1,452,448,321
  5. Step 5: Solve for x
    x = 1,452,448,321/26,668
  6. Step 6: Final answer
    x = 54,464.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.