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Finding the Third Proportional to 26,682 and 54,066

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Solution

The third proportional to 26,682 and 54,066 is: 109,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,682 : 54,066 = 54,066 : x
  2. Step 2: Convert to fraction form
    26,682/54,066 = 54,066/x
  3. Step 3: Cross multiply
    26,682x = 54,066 × 54,066
  4. Step 4: Simplify right side
    26,682x = 2,923,132,356
  5. Step 5: Solve for x
    x = 2,923,132,356/26,682
  6. Step 6: Final answer
    x = 109,554.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.