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Finding the Third Proportional to 27,456 and 37,809

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Solution

The third proportional to 27,456 and 37,809 is: 52,065.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,456 : 37,809 = 37,809 : x
  2. Step 2: Convert to fraction form
    27,456/37,809 = 37,809/x
  3. Step 3: Cross multiply
    27,456x = 37,809 × 37,809
  4. Step 4: Simplify right side
    27,456x = 1,429,520,481
  5. Step 5: Solve for x
    x = 1,429,520,481/27,456
  6. Step 6: Final answer
    x = 52,065.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.