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Finding the Third Proportional to 23,512 and 27,864

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Solution

The third proportional to 23,512 and 27,864 is: 33,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 27,864 = 27,864 : x
  2. Step 2: Convert to fraction form
    23,512/27,864 = 27,864/x
  3. Step 3: Cross multiply
    23,512x = 27,864 × 27,864
  4. Step 4: Simplify right side
    23,512x = 776,402,496
  5. Step 5: Solve for x
    x = 776,402,496/23,512
  6. Step 6: Final answer
    x = 33,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.