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Finding the Third Proportional to 27,844 and 40,230

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Solution

The third proportional to 27,844 and 40,230 is: 58,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844 : 40,230 = 40,230 : x
  2. Step 2: Convert to fraction form
    27,844/40,230 = 40,230/x
  3. Step 3: Cross multiply
    27,844x = 40,230 × 40,230
  4. Step 4: Simplify right side
    27,844x = 1,618,452,900
  5. Step 5: Solve for x
    x = 1,618,452,900/27,844
  6. Step 6: Final answer
    x = 58,125.73

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.