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Finding the Third Proportional to 26,786 and 38,266

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Solution

The third proportional to 26,786 and 38,266 is: 54,666.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,786 : 38,266 = 38,266 : x
  2. Step 2: Convert to fraction form
    26,786/38,266 = 38,266/x
  3. Step 3: Cross multiply
    26,786x = 38,266 × 38,266
  4. Step 4: Simplify right side
    26,786x = 1,464,286,756
  5. Step 5: Solve for x
    x = 1,464,286,756/26,786
  6. Step 6: Final answer
    x = 54,666.12

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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.