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Finding the Third Proportional to 24,576 and 38,400

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Solution

The third proportional to 24,576 and 38,400 is: 60,000

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576 : 38,400 = 38,400 : x
  2. Step 2: Convert to fraction form
    24,576/38,400 = 38,400/x
  3. Step 3: Cross multiply
    24,576x = 38,400 × 38,400
  4. Step 4: Simplify right side
    24,576x = 1,474,560,000
  5. Step 5: Solve for x
    x = 1,474,560,000/24,576
  6. Step 6: Final answer
    x = 60,000

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.