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Finding the Third Proportional to 8,440 and 18,576

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Solution

The third proportional to 8,440 and 18,576 is: 40,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 18,576 = 18,576 : x
  2. Step 2: Convert to fraction form
    8,440/18,576 = 18,576/x
  3. Step 3: Cross multiply
    8,440x = 18,576 × 18,576
  4. Step 4: Simplify right side
    8,440x = 345,067,776
  5. Step 5: Solve for x
    x = 345,067,776/8,440
  6. Step 6: Final answer
    x = 40,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.