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Finding the Third Proportional to 27,149 and 38,231

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Solution

The third proportional to 27,149 and 38,231 is: 53,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149 : 38,231 = 38,231 : x
  2. Step 2: Convert to fraction form
    27,149/38,231 = 38,231/x
  3. Step 3: Cross multiply
    27,149x = 38,231 × 38,231
  4. Step 4: Simplify right side
    27,149x = 1,461,609,361
  5. Step 5: Solve for x
    x = 1,461,609,361/27,149
  6. Step 6: Final answer
    x = 53,836.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.