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Finding the Third Proportional to 8,576 and 18,791

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Solution

The third proportional to 8,576 and 18,791 is: 41,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576 : 18,791 = 18,791 : x
  2. Step 2: Convert to fraction form
    8,576/18,791 = 18,791/x
  3. Step 3: Cross multiply
    8,576x = 18,791 × 18,791
  4. Step 4: Simplify right side
    8,576x = 353,101,681
  5. Step 5: Solve for x
    x = 353,101,681/8,576
  6. Step 6: Final answer
    x = 41,173.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.