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Finding the Third Proportional to 22,864 and 33,324

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Solution

The third proportional to 22,864 and 33,324 is: 48,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864 : 33,324 = 33,324 : x
  2. Step 2: Convert to fraction form
    22,864/33,324 = 33,324/x
  3. Step 3: Cross multiply
    22,864x = 33,324 × 33,324
  4. Step 4: Simplify right side
    22,864x = 1,110,488,976
  5. Step 5: Solve for x
    x = 1,110,488,976/22,864
  6. Step 6: Final answer
    x = 48,569.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.