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Finding the Third Proportional to 17,576 and 27,812

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Solution

The third proportional to 17,576 and 27,812 is: 44,009.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576 : 27,812 = 27,812 : x
  2. Step 2: Convert to fraction form
    17,576/27,812 = 27,812/x
  3. Step 3: Cross multiply
    17,576x = 27,812 × 27,812
  4. Step 4: Simplify right side
    17,576x = 773,507,344
  5. Step 5: Solve for x
    x = 773,507,344/17,576
  6. Step 6: Final answer
    x = 44,009.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.