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Finding the Third Proportional to 20,854 and 31,192

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Solution

The third proportional to 20,854 and 31,192 is: 46,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854 : 31,192 = 31,192 : x
  2. Step 2: Convert to fraction form
    20,854/31,192 = 31,192/x
  3. Step 3: Cross multiply
    20,854x = 31,192 × 31,192
  4. Step 4: Simplify right side
    20,854x = 972,940,864
  5. Step 5: Solve for x
    x = 972,940,864/20,854
  6. Step 6: Final answer
    x = 46,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.