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Finding the Third Proportional to 27,576 and 42,225

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Solution

The third proportional to 27,576 and 42,225 is: 64,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 42,225 = 42,225 : x
  2. Step 2: Convert to fraction form
    27,576/42,225 = 42,225/x
  3. Step 3: Cross multiply
    27,576x = 42,225 × 42,225
  4. Step 4: Simplify right side
    27,576x = 1,782,950,625
  5. Step 5: Solve for x
    x = 1,782,950,625/27,576
  6. Step 6: Final answer
    x = 64,655.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.