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Finding the Third Proportional to 11,772 and 24,102

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Solution

The third proportional to 11,772 and 24,102 is: 49,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772 : 24,102 = 24,102 : x
  2. Step 2: Convert to fraction form
    11,772/24,102 = 24,102/x
  3. Step 3: Cross multiply
    11,772x = 24,102 × 24,102
  4. Step 4: Simplify right side
    11,772x = 580,906,404
  5. Step 5: Solve for x
    x = 580,906,404/11,772
  6. Step 6: Final answer
    x = 49,346.45

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.