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Finding the Third Proportional to 21,932 and 48,238

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Solution

The third proportional to 21,932 and 48,238 is: 106,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,932 : 48,238 = 48,238 : x
  2. Step 2: Convert to fraction form
    21,932/48,238 = 48,238/x
  3. Step 3: Cross multiply
    21,932x = 48,238 × 48,238
  4. Step 4: Simplify right side
    21,932x = 2,326,904,644
  5. Step 5: Solve for x
    x = 2,326,904,644/21,932
  6. Step 6: Final answer
    x = 106,096.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.