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Finding the Third Proportional to 27,372 and 42,266

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Solution

The third proportional to 27,372 and 42,266 is: 65,264.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,372 : 42,266 = 42,266 : x
  2. Step 2: Convert to fraction form
    27,372/42,266 = 42,266/x
  3. Step 3: Cross multiply
    27,372x = 42,266 × 42,266
  4. Step 4: Simplify right side
    27,372x = 1,786,414,756
  5. Step 5: Solve for x
    x = 1,786,414,756/27,372
  6. Step 6: Final answer
    x = 65,264.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.