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Finding the Third Proportional to 18,576 and 40,424

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Solution

The third proportional to 18,576 and 40,424 is: 87,968.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,576 : 40,424 = 40,424 : x
  2. Step 2: Convert to fraction form
    18,576/40,424 = 40,424/x
  3. Step 3: Cross multiply
    18,576x = 40,424 × 40,424
  4. Step 4: Simplify right side
    18,576x = 1,634,099,776
  5. Step 5: Solve for x
    x = 1,634,099,776/18,576
  6. Step 6: Final answer
    x = 87,968.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.