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Finding the Third Proportional to 47,286 and 100,827

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Solution

The third proportional to 47,286 and 100,827 is: 214,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286 : 100,827 = 100,827 : x
  2. Step 2: Convert to fraction form
    47,286/100,827 = 100,827/x
  3. Step 3: Cross multiply
    47,286x = 100,827 × 100,827
  4. Step 4: Simplify right side
    47,286x = 10,166,083,929
  5. Step 5: Solve for x
    x = 10,166,083,929/47,286
  6. Step 6: Final answer
    x = 214,991.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.