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Finding the Third Proportional to 11,322 and 24,021

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Solution

The third proportional to 11,322 and 24,021 is: 50,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322 : 24,021 = 24,021 : x
  2. Step 2: Convert to fraction form
    11,322/24,021 = 24,021/x
  3. Step 3: Cross multiply
    11,322x = 24,021 × 24,021
  4. Step 4: Simplify right side
    11,322x = 577,008,441
  5. Step 5: Solve for x
    x = 577,008,441/11,322
  6. Step 6: Final answer
    x = 50,963.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.