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Finding the Third Proportional to 27,576 and 37,524

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Solution

The third proportional to 27,576 and 37,524 is: 51,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 37,524 = 37,524 : x
  2. Step 2: Convert to fraction form
    27,576/37,524 = 37,524/x
  3. Step 3: Cross multiply
    27,576x = 37,524 × 37,524
  4. Step 4: Simplify right side
    27,576x = 1,408,050,576
  5. Step 5: Solve for x
    x = 1,408,050,576/27,576
  6. Step 6: Final answer
    x = 51,060.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.