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Finding the Third Proportional to 3,864 and 9,524

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Solution

The third proportional to 3,864 and 9,524 is: 23,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 9,524 = 9,524 : x
  2. Step 2: Convert to fraction form
    3,864/9,524 = 9,524/x
  3. Step 3: Cross multiply
    3,864x = 9,524 × 9,524
  4. Step 4: Simplify right side
    3,864x = 90,706,576
  5. Step 5: Solve for x
    x = 90,706,576/3,864
  6. Step 6: Final answer
    x = 23,474.79

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.